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#4301 2012-11-13 16:24:01

ganesh
Moderator
Registered: 2005-06-28
Posts: 14,534

Re: 10 second questions

Hi anonimnystefy and bobbym,

The solutions #4419 and #4420 are correct. Excellent!

#4421. Express each number as a product of its prime factors:
(a) 140
(b) 156
(c) 3825
(d) 5005
(e) 7429


Character is who you are when no one is looking.

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#4302 2012-11-13 17:46:13

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,238

Re: 10 second questions

Hi;


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#4303 2012-11-14 17:13:15

ganesh
Moderator
Registered: 2005-06-28
Posts: 14,534

Re: 10 second questions

Hi bobbym,

The solutios (a), (b), (c), and (d) are correct. Excellent!

The solution (e)

#4422. Find the Least Common Multiple and Greatest Common Divisor of the following pairs of integers and verify that
LCM x GCD = product of the two numbers.
(a) 26 and 91
(b) 510 and 92
(c) 336 and 54


Character is who you are when no one is looking.

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#4304 2012-11-14 20:23:08

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,238

Re: 10 second questions

Hi ganesh;


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#4305 2012-11-15 15:33:19

ganesh
Moderator
Registered: 2005-06-28
Posts: 14,534

Re: 10 second questions

Hi bobbym,

The solution(s) #4422 is/are correct. Good work!

#4423. The Least Common Multiple of two numbers is 64699, and their Greatest Common Divisor is 97. One of the numbers is 2231. Find the other.

#4424. The product of two numbers is 20736 and their Greatest Common Divisor is 54. Find their Least Common Multiple.


Character is who you are when no one is looking.

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#4306 2012-11-15 20:40:31

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,238

Re: 10 second questions

Hi;


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#4307 2012-11-16 20:08:11

ganesh
Moderator
Registered: 2005-06-28
Posts: 14,534

Re: 10 second questions

Hi bobbym,

The solution #4423 is correct. Neat work!

#4425. Solve the following system of equations : x + y = 7; 2x - 3y = 11.

#4426. Solve : 2x - 7y = 1 and 4x + 3y = 15.


Character is who you are when no one is looking.

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#4308 2012-11-16 20:16:18

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,238

Re: 10 second questions

Hi ganesh;


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#4309 2012-11-17 17:30:33

ganesh
Moderator
Registered: 2005-06-28
Posts: 14,534

Re: 10 second questions

Hi bobbym,

The solutions #4425 and #4426 are correct. Neat work!

#4427. Solve : 3x + 5y = 7 and 11x - 13y = 9.

#4428. Solve : 2x - y = 11 and 5x + 4y = 1.


Character is who you are when no one is looking.

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#4310 2012-11-17 22:01:18

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,238

Re: 10 second questions

Hi ganesh;


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#4311 2012-11-18 17:50:19

ganesh
Moderator
Registered: 2005-06-28
Posts: 14,534

Re: 10 second questions

Hi bobbym,

The solutions #4427 and #4428 are correct. Excellent!

#4429. Solve : 3x - 5y - 4 = 0 and 9x = 2y + 7.

#4430. Solve : x/2 + 2y/3 = -1 and x - y/3 = 3.


Character is who you are when no one is looking.

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#4312 2012-11-18 18:49:29

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,238

Re: 10 second questions

Hi;


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#4313 2012-11-19 19:05:07

ganesh
Moderator
Registered: 2005-06-28
Posts: 14,534

Re: 10 second questions

Hi bobbym,

The solutions #4429 and #4430 are correct. Neat work!

#4431. Solve :

#4432. Solve :


Character is who you are when no one is looking.

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#4314 2012-11-20 04:17:32

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,238

Re: 10 second questions

Hi;


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#4315 2012-11-20 16:28:45

ganesh
Moderator
Registered: 2005-06-28
Posts: 14,534

Re: 10 second questions

Hi bobbym,

The solutions #4431 and #4432 are correct. Brilliant!

#4433. Solve :

#4434. Solve :

.


Character is who you are when no one is looking.

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#4316 2012-11-20 22:23:31

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,238

Re: 10 second questions

Hi ganesh;

Do not worry about the error.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#4317 2012-11-21 16:21:48

ganesh
Moderator
Registered: 2005-06-28
Posts: 14,534

Re: 10 second questions

Hi bobbym,

The solutions #4433 and #4434 are correct. Neat work!

#4435. Solve :

#4436. Solve : 6x + 3y = 6xy and 2x + 4y = 5xy.


Character is who you are when no one is looking.

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#4318 2012-11-21 21:55:08

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,238

Re: 10 second questions

Hi ganesh;


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#4319 2012-11-22 16:49:14

ganesh
Moderator
Registered: 2005-06-28
Posts: 14,534

Re: 10 second questions

Hi bobbym,

The solutions #4435 and #4436 are correct. Marvelous!

#4437.  Solve :

#4438. Solve :


Character is who you are when no one is looking.

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#4320 2012-11-22 21:23:57

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,238

Re: 10 second questions

Hi;


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#4321 2012-11-23 20:47:09

ganesh
Moderator
Registered: 2005-06-28
Posts: 14,534

Re: 10 second questions

Hi bobbym,

The solutions #4437 and #4438 are correct. Brilliant!

#4439. Solve : 35x + 23y = 209 and 23x + 35y = 197.

#4440. Solve : 4/x + 5y = 7 and 3/x + 4y = 5.


Character is who you are when no one is looking.

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#4322 2012-11-23 20:51:06

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,238

Re: 10 second questions

Hi ganesh;


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#4323 2012-11-24 18:11:28

ganesh
Moderator
Registered: 2005-06-28
Posts: 14,534

Re: 10 second questions

Hi bobbym,

The solutions #4439 and #4440 are correct. Smart work!

#4441. Solve :

.

#4442. Solve :

.


Character is who you are when no one is looking.

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#4324 2012-11-24 20:40:19

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,238

Re: 10 second questions

Hi;


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#4325 2012-11-25 18:39:03

ganesh
Moderator
Registered: 2005-06-28
Posts: 14,534

Re: 10 second questions

Hi bobbym,

The solutions #4441 and #4442 are perfect. Outstanding!

#4443. Seven times a two-digit number is equal to four times the number obtained by reversing the digits. If the difference between the digits is 3, find the number.

#4444. A takes 3 hours more than B to cover  distance of 30 kilometers. But, if A doubles his speed he is ahead of B by 90 minutes; find their speeds of walking.


Character is who you are when no one is looking.

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