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Choose the correct option. The difference between ages of 2 persons is 15 years. Twenty years back, the elder person was twice as old as the younger one. What is the present age of the elder person? Options 25 30 45 50

Question

Choose the correct option. The difference between ages of 2 persons is 15 years. Twenty years back, the elder person was twice as old as the younger one. What is the present age of the elder person?

Options 25

30

45

50

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Solution

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

From the problem, we know two things:

  1. E - Y = 15 (The difference between ages of 2 persons is 15 years)

  2. E - 20 = 2*(Y - 20) (Twenty years back, the elder person was twice as old as the younger one)

We can solve these two equations to find the values of E and Y.

Substitute the first equation into the second:

15 + Y - 20 = 2Y - 40

Simplify to get:

Y = 35

Substitute Y = 35 into the first equation:

E - 35 = 15

Simplify to get:

E = 50

So, the present age of the elder person is 50 years.

This problem has been solved

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