Two numbers are in the ratio 4 : 5. If 17 is subtracted from each, the new numbers are in the ratio 11 : 14. If 20 is added to each of the original numbers, then the ratio becomes:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 224 : 275.
Let the numbers be: 4x and 5x
According to the question,
=
⇒ 14(4x - 17) = 11(5x - 17)
⇒ 56x - 238 = 55x - 187
⇒ x = 51
Original numbers:
⇒ 4x = 204
⇒ 5x = 255
Adding 20 to each number: (204 + 20), (255 + 20)
Ratio = = 224 : 275