The ratio of two numbers is 3:4, and their sum is 84. What is the ratio of their squares?
Show answer & explanation
Correct answer: A
Explanation
Given:
Ratio of two numbers = 3 : 4
Sum = 84
According to the formula:
If the ratio is a : b, then the ratio of the squares = a² : b²
The numbers = 3x, 4x
3x + 4x = 84
7x = 84 ⇒ x = 12
Ratio of the squares = (3x)² : (4x)²
= 9x² : 16x²
= 9 : 16