Question

Nick is now seven times as old as harry. In 6 years , nick will be five times as old as harry. How old will harry be in 6 years?

Answer 1

x = Harry's Age

Nick's age is 7x

In 6 years Harry is 7x+6, and Nick is 5(x+6)

7x+6=5x+30

2x+6=30

2x = 24

x = 12

Harry = 12 years old and in 6 years Harry will be 18.

Answer 2

18 years

Explanation:

Let Nick age is x years and Harry's age is y years.

Hence, we have the equation

x = 7y ......(1)

After six years, Nick's age is (x+6) and Harry's age is (y+6)

Hence, we have

`x+6=5(y+6)\\x+6=5y+30`

Plugging x = 7y, we get

`7y+6=5y+30\\2y=24\\y=12`

Hence, from equation (1)

x = 7(12)

x =84

In 6 years, Harry will be of 12 + 6 =18 years.