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The difference between the ages of two persons is 10 years.15 years ago the elder one was twice as old as the younger one.Find the present age of the elder person.25 years30 years35 years40 years

Question

The difference between the ages of two persons is 10 years.15 years ago the elder one was twice as old as the younger one.Find the present age of the elder person.25 years30 years35 years40 years

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Solution

Let's denote the present age of the younger person as Y and the present age of the elder person as E.

From the problem, we know two things:

  1. E - Y = 10 (The difference between the ages of two persons is 10 years)
  2. E - 15 = 2 * (Y - 15) (15 years ago the elder one was twice as old as the younger one)

We can solve these two equations step by step:

Step 1: Substitute E from the first equation into the second equation: 10 + Y - 15 = 2 * (Y - 15)

Step 2: Simplify the equation: Y - 5 = 2Y - 30

Step 3: Solve for Y: Y = 25

Step 4: Substitute Y = 25 into the first equation to find E: E = 25 + 10 = 35

So, the present age of the elder person is 35 years.

This problem has been solved

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