Two possible numbers are in the ratio 7 : 11. If the sum of their squares is 13770, then the difference between the two numbers is:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 36.
Let numbers be 7x and 11x
Sum of squares: 49x2 + 121x2 = 13770
⇒ 170x2 = 13770
⇒ x2 = 81
⇒ x = 9
Difference = (11x - 7x) = 4x = 36