Find The Sum of Two Numbers ? If

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:

  1. 40
  2. 80
  3. 100
  4. 10
Harsh Vardhan Professor Asked on 18th August 2015 in Maths.
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1 Answer(s)

Answer:  (1) 40

Explanation:-
The ratio of two numbers are 2 : 3.

Let the two number are 2 X  & 3 X.
The ratio becomes 3:4 when 8 is added to both the numbers,
Then, (2 X + 8 ) / (3 X + 8) = 3 / 4
8 X + 32 = 9 X + 24   (By cross multiplication)
9 X – 8 X = 32 – 24
X = 8
Then, the numbers are 2 X = 2 x 8 = 16  & 3 X = 3 x 8 = 24
The sum of the numbers = 16 +  24 = 40

Hence, the answer is (1) 40.

Anurag Mishra Professor Answered on 18th August 2015.
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