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?
Tom is 45 and Todd is 7,5.
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