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

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

Let the numbers be 3x, 4x and 5x.
∴ 5x + 3x = 4x + 52
⇒ 4x = 52 ⇒ x =13
∴ The smallest number
= 3x = 3 × 13 = 39