Correct Answer - Option 2 : 12
Given:
Two numbers In ratio = 5 : 7
Each of them is subtracted = 9
Then their ratio = 7 : 11
Calculation:
⇒ (5x - 9)/(7x - 9) = 7/11 (by cross multiplication)
then,
⇒11(5x - 9) = 7(7x - 9)
⇒ 55x - 99 = 49x - 63
⇒ 55x - 49x = 99 - 63
⇒ 6x = 36
⇒ x = 6
Difference = 7x - 5x = 2x
Put the value of x = 2 × 6 = 12
∴ The required difference 12