The sum of squares of two numbers is 68 and the squares of their difference is 36. The product of the two number is?
Correct Answer: 16
Explanation:
Let the number be a and b .
Then a2 + b2 = 68 ....(i)
and (a - b)2 = 36
Now, (a - b)2 = 36 ....(ii)
⇒ a2 + b2 - 2ab = 36
⇒ 68 - 2ab = 36
⇒ 2ab = 32
⇒ ab = 16 .
