Arithmetic Aptitudes › Problems on Ages › Question #4436
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QHow old is Rajeev currently, if in 15 years he will be 5 times as old as he was 5 years ago?

ID: #4436 Problems on Ages 146 views
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  • A 20 ✔ ✖
  • B 10 ✔ ✖
  • C 5 ✔ ✖
  • D 15 ✔ ✖
Correct Answer

Explanation

 Let's call the age Rajeev is currently X years old.

In 15 years, Rajeev will be X + 15 years old.

5 years ago, Rajeev was X - 5 years old.

Thus, 5 years from now, Rajeev will be X - 5 + 5 = X years old.

Therefore, in 15 years, Rajeev will be 5 times as old as he was 5 years ago, or 5 * (X - 5) = X + 15.

Solving for X, we get:

5 * (X - 5) = X + 15
5X - 25 = X + 15
4X - 25 = 15
4X = 40
X = 10

Therefore, Rajeev is currently 10 years old.

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