SOLUTION: My sister is 8 years older than i am. Our combined age is half the age our granfather. Our granfather is 68 years old. How old am i?

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: My sister is 8 years older than i am. Our combined age is half the age our granfather. Our granfather is 68 years old. How old am i?       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1153528: My sister is 8 years older than i am. Our combined age is half the age our granfather. Our granfather is 68 years old. How
old am i?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

let your age be x
if your sister is 8+years older than you, her age is
x%2B8
if your combined age is half the age our grandfather who is 68 years old, than
%28x%2Bx%2B8%29=68%2F2
%282x%2B8%29=34
2x=34-8
2x=26
x=13->your age
x%2B8=13%2B8=21->your sister's age

check the sum: 13%2B21=34 which is 1%2F2 of 68