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If a – b = 3 and a2 + b2 = 29, find the value of ab.

/ Aptitude, Simplification / By
Question:
If a – b = 3 and a2 + b2 = 29, find the value of ab.

[A].

10

[B].

12

[C].

15

[D].

18

Answer: Option A

Explanation:

2ab = (a2 + b2) – (a – b)2

   = 29 – 9 = 20

   ab = 10.