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?

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) (Show Source): You can put this solution on YOUR website!
.

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.

RELATED QUESTIONS
Richard is seven years older than lilia. In ten years, the sum of their ages will be 51 (answered by Timnewman,MathTherapy)

Paul is 12 years older than Colin. Caroline is 3 years younger than Colin. If the total... (answered by josmiceli,MathTherapy)

Paul is 12 years older than Colin. Caroline is 3 years younger than Colin. If the total... (answered by jim_thompson5910,josgarithmetic)

Emily is 66 years old. Colin is 12 years older than Emily. Dan is 16 years younger than... (answered by ikleyn)

Steve is 7 years younger than his brother Richard. If the sum of their ages is 37 years,... (answered by josgarithmetic)

Emily is 62 years old. Colin is 6 years older than Emily. Dan is 4 years younger than... (answered by josgarithmetic)

Emily is 46 years old. Colin is 11 years older than Emily. Dan is 5 years younger than... (answered by josgarithmetic)

Emily is 62 years old. Colin is 3 years older than Emily. Dan is 8 years younger than... (answered by josgarithmetic)

Emily is 62 years old. Colin is 6 years older than Emily. Dan is 4 years younger than... (answered by ankor@dixie-net.com)