Question

If two-thirds of the sum of squares of two numbers is equal to four third of the product of the two numbers, then find the difference between the two numbers.

• A. 0
• B. 1
• C. 2
• D. 3

Answer 1

The correct option is A

0

$\frac{2}{3}\left(a^2+b^2\right)=\frac{4}{3}ab$

$⟹a^2+b^2=2ab$

$⟹a^2-2ab+b^2=0$

$⟹$ a - b = 0