Question

George is now 8 years older than harry, find their present age if in 5 years george will be twice as harry was 2 years ago

Answer 1

The present age of George is 25 years and the present age of Harry is 17 years

For given question,

Let x be the age of George and y be the age of Harry.

George is now 8 years older than harry.

So, we get an equation,

x = y + 8                      ...................(1)

After 5 years the age of George will be x + 5 and the age of Harry will be    y + 5

Two years ago the age of Harry = y - 2

In 5 years George will be twice as Harry was 2 years ago.

So we get an equation,

x + 5 = 2(y - 2)                ..............(2)

Substitute the value of x in equation (2)

⇒ x + 5 = 2(y - 2)  

⇒ y + 8 + 5 = 2y - 4

⇒ y + 13 = 2y - 4

⇒ y = 17

Substitute the above value of y in equation (1)

⇒ x = 17 + 8

⇒ x = 25

Therefore, the present age of George is 25 years and the present age of Harry is 17 years

Learn more about an equation here:

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