SSC CGL 16 Aug 2015 Shift 2 Paper

Question : 110 of 200

Marks: +1, -0

If two numbers are in the ratio 2 : 3 and the ratio becomes 3 : 4 when 8 is added to both the numbers, then the sum of the two numbers is

Solution:

Let the numbers be 2x and 3x respectively.
According to the question,

{2x+8}/{3x+8}

3/4

⇒ 9x + 24 = 8x + 32
⇒ 9x – 8x = 32 – 24 = 8
⇒ x = 8
∴ Sum of numbers = 2x + 3x = 5x
= 5 × 8 = 40

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