Two numbers are in the ratio of 7 : 6. If the difference between their squares is 637, then the numbers are:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 49 and 42.
Let the two numbers be 7x and 6x
(7x)2 - (6x)2 = 637
⇒ 49x2 - 36x2 = 13x2 = 637
⇒ x2 = 49
⇒ x = 7
First number = 7x = 7 × 7 = 49
Second number = 6x = 6 × 7 = 42