Three number are in the ratio 3 :4 : 5 . The sum of the

Three number are in the ratio 3 :4 : 5 . The sum of the largest and the smallest equals the sum of the third and 52. The smallest number is ?

Let the numbers be 3N, 4N and 5N.
Then, 5N + 3N = 4N + 52
⇒ 4N = 52
⇒ N = 13
∴ Then smallest number = 3N = 3 x13 = 39.