SOLUTION: Colin is 9 years older than Richard. David is 12 years younger than Richard. If the total of their ages is 93, how old is the eldest of them?

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Question 1137486: Colin is 9 years older than Richard. David is 12 years younger than Richard. If the total of their ages is 93, how old is the eldest of them?
Answer by ikleyn(52810) About Me  (Show Source):
You can put this solution on YOUR website!
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Obviously, Colin is the eldest.


Let C be the Colin's age.


Then we have an equation


(C-9) + C + ((C-9)-12) = 93


3C - 30 = 93

3C = 93 + 30 = 123

C = 123/3 = 41.


ANSWER.  The eldest, Colin, is 41 years old.


CHECK.  Then Richard is 41-9 = 32 years old;  David is  32 - 12 = 20 years old  and

        41 + 32 + 20 = 93.   ! Correct !

Solved.