Question

Wednesday Question of the Day: When Big Jim stands on a bench that is 15 inches high, the top of his head is 53 inches above the top of Little Jim's head. Big Jim's height is twice that of Little Jim's height. How tall is Big Jim? How tall is Little Jim?

Answer 1

Let x represent little Jim's height.

We have been given that Big Jim's height is twice that of Little Jim's height. So big Jim's height would be
`2x`.

We are also told that Big Jim stands on a bench that is 15 inches high. So total height of Big Jim and table would be
`2x+15`.

Since when Big Jim stands on a bench that is 15 inches high, the top of his head is 53 inches above the top of Little Jim's head, so we can equate both heights as:

`2x+15=x+53`

Let us solve for x.

`2x-x+15=x-x+53`

`x+15=53`

`x+15-15=53-15`

`x=38`

Therefore, Little Jim is 38 inches tall.

Big Jim's height would be
`2x\Rightarrow 2(38)=76`.

Therefore, Big Jim is 76 inches tall.