Question

In 4 years, Harry’s age will be the same as Jim’s age is now. In 2 years, Jim will be twice as old as Harry will be. Find their ages now.

Answer 1

Jim is 6 / Harry is 2

In 4 years Harry will be 6
In 2 years Jim will be 8 and Harry will be 4 which is twice as much Harry's age.


hope this helps!

Answer 2

Answer: The present age of Harry is 2 years and that of Jim is 6 years.

Step-by-step explanation: Given that in 4 years, Harry’s age will be the same as Jim’s age is now. In 2 years, Jim will be twice as old as Harry will be.

We are to find the present ages of Harry and Jim.

Let x and y represents the present ages of Harry and Jim respectively.

Then, according to the given information, we have

`x+4=y~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\y+2=2(x+2)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)`

Substituting the value of y from equation (i) in equation (ii), we get

`y+2=2x+4\\\\\Rightarrow x+4+2=2x+4\\\\\Rightarrow 2x-x=2\\\\\Rightarrow x=2.`

From equation (i), we get

`y=x+4=2+4=6.`

Thus, the present age of Harry is 2 years and that of Jim is 6 years.