Question

Two numbers are in the ratio of 3 : 5. If 9 is subtracted from each, they are in the ratio of 12 : 23. The larger number is ______.

पर्याय

• 40

• 45

• 55

• 60

Answer 1

Two numbers are in the ratio of 3 : 5. If 9 is subtracted from each, they are in the ratio of 12 : 23. The larger number is 55.

Explanation:

Let the numbers be 3k and 5k.

From `(3k - 9)/(5k - 9) = 12/23`, we get k = 11; the larger number is 5k = 55.