Two numbers are in the ratio 3 : 5. If 9 is subtracted from each, the numbers so obtained are in the ratio 12 : 23. If is 3 added to the smaller number and 7 is subtracted from the other number, there they will be in the ratio:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 3 : 4
Let two numbers be 3x and 5x
According to question,
(3x -9)/(5x - 9) = 12/23
69x - 207 = 60x - 108
9x = 99, x = 11
Numbers are 3 × 11 = 33 & 5 × 11 = 55
If is 3 added to the smaller number and 7 is subtracted from the other number the ratio will be:
33 + 3 : 55 - 7 = 36 : 48 = 3 : 4