Arithmetic Aptitudes › Problems on Ages › Question #4389
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QThe ages of Shakti and Kanti are in the ratio of 8:7 respectively. After 10 years, the ratio of their ages will be 13: 12. What is the difference between their ages?

ID: #4389 Problems on Ages 210 views
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  • A 2 years ✔ ✖
  • B 4 years ✔ ✖
  • C 6 years ✔ ✖
  • D 8 years ✔ ✖
Correct Answer

Explanation

Let the present ages of Shakti and Kanti be 8x and 7x years respectively.
After 10 years, the ages of Shakti and Kanti will be (8x + 10) and (7x + 10) years respectively.
The ratio of their ages after 10 years will be (8x + 10) : (7x + 10) = 13:12.
Solving this equation for x, we get x = 2
Substituting this value in the expressions for the present ages of Shakti and Kanti, we get that their present ages are 8 * 2= 16 years and 7 * 2= 14 years respectively.
Therefore, the difference between their ages is 16 - 14 = 2 years.

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