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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 20,092

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

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 102,287

Hi;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.** **A number by itself is useful, but it is far more useful to know how accurate or certain that number is.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 20,092

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

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 102,287

Hi ganesh;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.** **A number by itself is useful, but it is far more useful to know how accurate or certain that number is.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 20,092

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.

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 102,287

Hi;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.** **A number by itself is useful, but it is far more useful to know how accurate or certain that number is.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 20,092

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.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 102,287

Hi ganesh;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 20,092

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.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 102,287

Hi ganesh;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 20,092

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.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 102,287

Hi;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 20,092

Hi bobbym,

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

#4431. Solve :

#4432. Solve :

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 102,287

Hi;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 20,092

Hi bobbym,

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

#4433. Solve :

#4434. Solve :

.Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 102,287

Hi ganesh;

Do not worry about the error.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 20,092

Hi bobbym,

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

#4435. Solve :

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

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 102,287

Hi ganesh;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 20,092

Hi bobbym,

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

#4437. Solve :

#4438. Solve :

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 102,287

Hi;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 20,092

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.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 102,287

Hi ganesh;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 20,092

Hi bobbym,

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

#4441. Solve :

.#4442. Solve :

.Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 102,287

Hi;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 20,092

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.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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