Banking Exams Quant — Question 1783

Question

The ratio of two numbers is 5 : 8. If each is increased by 8, the ratio becomes 2 : 3. Find the smaller number.

  1. 40
  2. 48
  3. 64
  4. 32

Correct answer

A — 40

Explanation (English)

Let the numbers be 5x and 8x. (5x+8)/(8x+8) = 2/3 → 3(5x+8) = 2(8x+8) → 15x+24 = 16x+16 → x = 8. Smaller = 5×8 = 40.

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