SOLUTION: Gary and Larry's age combined adds up to 97. Larry is 5 years older than 3 times Gary's age. How old are they?

Question 1141016: Gary and Larry's age combined adds up to 97. Larry is 5 years older than 3 times Gary's age. How old are they?
Answer by ikleyn(52798) (Show Source): You can put this solution on YOUR website!
.

From the condition, you have these two equations


G + L = 97     (1)

L = 3G + 5     (2)


Substitute expression (2) into equation (1) to get


    G + (3G + 5) = 97.


Simplify and solve for G


    4G + 5 = 97

    4G = 97 - 5

    4G = 92

     G = 92/4 = 23.


ANSWER.  Gary is 23 years old.  Larry is  3*23+5 = 74 years old.


CHECK.  23 + 74 = 97.    ! Correct !

RELATED QUESTIONS
Grandpa and his grandson Gary both had their birthday yesterday. Today, grandpa's age in... (answered by josgarithmetic,mananth,ikleyn,greenestamps)

gary is 5 years older than henry.21 years ago, gary was twice as old as henry.what is the (answered by mananth)

Two years ago Larry was 10 years older than Sally's current age the sum of their ages is (answered by ankor@dixie-net.com)

[ Gary is x years old today. Two years ago,his grandfather was 3 times older than Gary at (answered by TimothyLamb)

Can i have your help with my math. 1.Gary is x years old today. two years ago, his... (answered by stanbon,richwmiller)

Larry is 5 years older than Mark and Andrew is 6 years older than twice Larry’s age.... (answered by ewatrrr,josgarithmetic)

Ray and Gary are the same age. The sum of Ray, Gary and Steve's age is 48. Steve is 1/3 (answered by stanbon)

Gary is 8 years older than his brother. Six years ago Gary was three times as old as his... (answered by josgarithmetic)