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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,249

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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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,537

Hi bobbym,

The solutions #4443 and #4444 are correct. Superlative!

Find the roots of the quadratic equations.

#4445. x[sup]2[/sup] - 3x - 10 = 0

#4446. 2x[sup]2[/sup] + x - 6 = 0

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,249

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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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,537

Hi bobbym,

The solutions #4445 and #4446 are correct. Neat job!

#4447. Solve :

.#4448. Solve :

.Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,249

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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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,537

Hi bobbym,

The solutions #4447 and #4448 are correct. Brilliant!

#4449. Find two consecutive positive integers, sum of whose squares is 365.

#4450. The altitude of a right triangle is 7 centimeters less than its base. If the hypotenuse is 13 centimeters, find the other two sides.

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,249

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,537

Hi bobbym,

The solutions #4449 and #4450 are perfect. Good work!

#4451. Solve : 2x[sup]2[/sup] + x - 4 = 0.

#4452. Solve :

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,249

Hi ganesh;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,537

Hi bobbym,

The solutions #4451 and #4452 are correct. Excellent!

#4453. The sum of the reciprocals of Rehman's age, (in years) 3 years ago and 5 years from now is 1/3. Find his present age.

#4454. In a class test, the sum of Shefali's marks in Mathematics and English is 30. Had she got 2 marks more in Mthematics and 3 marks less in English, the product would have been 210. Find her marks in the two subjects.

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,249

Hi ganesh;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,537

Hi bobbym,

The solutions #4453 and #4454 are correct. Brilliant!

#4455. The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find the two numbers.

#4456. A train travels 360 kilometers at a uniform speed. If the speed had 5 kilometers per hour more, it would have taken 1 hour less for the same journey. Find the speed of the train.

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,249

Hi ganesh;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,537

Hi bobbym,

The solutions #4455 and #4456 are correct. Excellent!

#4457. Fin pd the value of k such that 2/3, k, 5/8 are the three consecutive of n Arithmetic Progression.

#4458. Find the common difference and write the next four terms of the following arithmetic progression :

-1, 1/4, 3/2, ......

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,249

Hi ganesh;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,537

Hi bobbym,

The solutions #4457 and #4458 are correct. Brilliant!

Find the number of terms in the following Arithmetic Progression:

#4459. 7, 13, 19, .........., 205.

#4460. 18, 15.5, 13, ............., -47.

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,249

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,537

Hi bobbym,

The solutions #4459 and #4460 are correct. Neat work!

#4461. Find the 31st term of an Arithmetic Progression whose 11th term is 38 and the 16th term is 73.

#4462. An Arithmetic Progression consists of 50 terms of which 3rd term is 12 and the last term is 106. Find the 29th term.

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,249

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,537

Hi bobbym,

The solution #4461 is perfect. Good work!

I was unable to view the solution #4462.

#4463. The 17th term of an Arithmetic Progression exceeds its 10th term by 7. Find the common difference.

#4464. Which term of the Arithmetic Progression 3, 15, 27, 39, .... would be 132 more than its 54th term?

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,249

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,537

Hi bobbym,

The solutions #4463 and #4464 are correct. Marvelous!

#4465. How many three-digit numbers are divisible by 7?

#4466. How many multiples of 4 lie between 10 and 250?

Character is who you are when no one is looking.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,537

Hi bobbym,

#4467. Find the 20th term from the last term of the Arithmetic Progression : 3, 8, 13, ......, 253.

Character is who you are when no one is looking.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,544

Hi ganesh

I don't get the question. What should we find?

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,249

Hi anonimnystefy;

I think he wants the 30th term.

Hi ganesh;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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