Two numbers are in the ratio 5 : 7. If 9 is added to each, the new ratio becomes 8 : 11. What are the original numbers?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 135 and 189.
Let numbers be 5x and 7x
(5x + 9)/(7x + 9) = 8/11
⇒ 55x + 99 = 56x + 72
⇒ x = 27
Numbers = 5 × 27 = 135, 7 × 27 = 189