# Tom is 6 times as old as Todd. In 6 years Tom's age will be 3 years less than 4 times as old as Todd. How old is Tom?

##### 1 Answer

Sep 29, 2015

#### Answer:

Tom is 45 and Todd is 7,5.

#### Explanation:

Let Tom's age now be

Now write the information given as equations in terms of x and y.

Since Tom is 6 times as old as Todd, it implies that

In 6 years time, Tom will be

But Tom will be 3 years less than 4 times Todd at that time so the equation becomes

Now substituting x with 6y and solving for y we get

Back substituting we get