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A’s age after 15 years would be equal to 5 times his age 5 years ago. Find his age 3 years hence.Question Description : 11 years13 years14 years12 years

Question

A’s age after 15 years would be equal to 5 times his age 5 years ago. Find his age 3 years hence.

Question Description:

  • 11 years
  • 13 years
  • 14 years
  • 12 years
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Solution

Let's denote A's current age as x.

According to the problem, A’s age after 15 years would be equal to 5 times his age 5 years ago. We can write this as an equation:

x + 15 = 5 * (x - 5)

Solving this equation will give us A's current age.

First, simplify the right side of the equation:

x + 15 = 5x - 25

Then, rearrange the equation to isolate x:

5x - x = 15 + 25

4x = 40

Finally, solve for x:

x = 40 / 4

x = 10

So, A is currently 10 years old.

The problem asks for A's age 3 years hence, so we add 3 to A's current age:

10 + 3 = 13

Therefore, A will be 13 years old in 3 years.

This problem has been solved

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