SOLUTION: Tom is 5 times as old as Todd. In 5 years Tom's age will be 7 years less than 4 times as old as Todd. How old is Todd?

Question 575916: Tom is 5 times as old as Todd. In 5 years Tom's age will be 7 years less than 4 times as old as Todd. How old is Todd?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = Tom's age now
Let = Todd's age now
= Tom's age in 5 yrs
= Todd's age in 5 yrs
given:
(1)
(2)
------------------------
Substitute (1) into (2)
(2)
(2)
(2)
(2)
and, since
(1)
(1)
(10
Tom is 40 and Todd is 8
check:
In 5 yrs, Tom will be be 45 and Todd
will be 13 and 4 times Todd's age will be 52

OK
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