SOLUTION: Gabrielle is 12 years older than Mikhail. The sum of their ages is 38. What is Mikhail's age

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Gabrielle is 12 years older than Mikhail. The sum of their ages is 38. What is Mikhail's age      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1152138: Gabrielle is 12 years older than Mikhail. The sum of their ages is 38. What is Mikhail's age
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

let Gabrielle's age be g and Mikhail's m
if Gabrielle is 12 years older than Mikhail, we have
g=m%2B12 ......eq.1
if the sum of their ages is 38, we have

g%2Bm=38 ......eq.2...substitute g from eq.1
m%2B12%2Bm=38 ......eq.2.......solve for m
2m38-12
2m=26
highlight%28m=13%29=> Mikhail's age
go to g=m%2B12 ......eq.1, substitute m
g=13%2B12
g=25=>Gabrielle's age