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

Three numbers are in the ratio 3 : 4 : 5. The sum of the largest and the smallest equals to the sum of the second number and 52. The smallest number is = ? Correct Answer 39

  A : B : C
  3 : 4 : 5
Let   3x   :  4x   :  5x
∴ Sum of (smallest + largest)
A + C = 8x
According of the question,
8x = 4x + 52
4x = 52
x = 13
∴ Smallest number is = A
⇒ 13 × 3 = 39

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