Find the present ages of Swetha & Santoshi (in years)?

The ratio of the ages of Swetha and Santoshi is 9:4, If after 10 years, Santoshi’s age would be the same as the present age of Swetha. Find the present ages of Swetha & Santoshi (in years)?

  1. 9 years, 4 years
  2. 36 years, 26 years
  3. 27 years, 17 years
  4. 18 years, 8 years
Harsh Vardhan Professor Asked on 29th July 2015 in Maths.
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1 Answer(s)

Answer: (4) 18 years, 4 years
Explanation:-
The ratio of the ages of Swetha and Santoshi = 9 : 4
Let the age of Swetha = 9 X  & age of Santoshi = 4 X.

According to the question,
(4 X + 10)  = 9 X
9 X – 4 X = 10
5 X  = 10
X = 10/5
X = 2
The present age of Swetha = 9 X = 9 x 2 = 18 years.
The present age of Santoshi = 4 X = 4 x 2 = 8 years.
Hence, the answer is (4) 18 years, 8 years.

Anurag Mishra Professor Answered on 30th July 2015.
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