Two positive numbers are in the ratio 7 : 4. If the difference between their squares is 297, then the sum of the two numbers is:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 33
Let's assume the two numbers = 7x and 4x
According to the question,
(7x)2 - (4x)2 = 297
49x2 - 16x2 = 297
x2 = 9
x = 3
Sum of the number = 7 × 3 + 4 × 3 = 33