Aptitude - Simplification - Discussion

Discussion Forum : Simplification - General Questions (Q.No. 4)
4.
If a - b = 3 and a2 + b2 = 29, find the value of ab.
10
12
15
18
Answer: Option
Explanation:

2ab = (a2 + b2) - (a - b)2

   = 29 - 9 = 20

   ab = 10.

Discussion:
107 comments Page 8 of 11.

Raj said:   9 years ago
If a + 1/a = 4, then a^2 + 1/a^2 = ?

Rushah said:   9 years ago
@Antara.

It's very easy. Remove brackets and multiply you got 2ab.

Antara chatterjee said:   9 years ago
a2 + b 2= 52,and a - b = 2. Then ab?

Anyone solve this problem.

Amit said:   9 years ago
It's so easy Easy method.

Given.
a - b = 3 and a * a - b * b = 3,

So,
a = 5 and b = 2.

Then,
ab = 5 * 2 = 10.

Hepinder happy said:   9 years ago
@Saad.

a^2 - b^2 = (a+b)(a-b) we have given a^2 - b^2 = 30 and a - b= 5.

Then (a + b)(a - b) = 30.
a + b = 30/(a -b).
a + b = 30/5.
a + b = 6

Solving 1 & 2 we get,
2a = 11.
a = 11/2 then ab =11/4 --> Answer.

Saad said:   9 years ago
If a2 - b2 = 30 and a - b = 5, then find the value of ab?

SMRUTI RANJAN said:   9 years ago
If a2 - b2 = 37, then a2 + b2 = ? Please explain?

Jisha said:   10 years ago
@Harisha can you explain your question?

Harisha said:   10 years ago
Solve the problem if a+1/a-2=4. Find the value of (a-2)^2+(1/a-2)^2?

Manjunatha dv said:   1 decade ago
a-b = 3.
5-2 = 3.

a^2+b^2 = 29.
5^2+2^2 = 29.

Answer = 5*2 = 29.


Post your comments here:

Your comments will be displayed after verification.