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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