SOLUTION: Jhon is 16 years older than his youngest sister, Linda.Together, their ages total 36 years.How old is each person?

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Jhon is 16 years older than his youngest sister, Linda.Together, their ages total 36 years.How old is each person?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 196852: Jhon is 16 years older than his youngest sister, Linda.Together, their ages total 36 years.How old is each person?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Let J = John's age
Let L = Linda's age
:
write an equation for each statement:
Jhon is 16 years older than his youngest sister, Linda.
J = L+16
:
Together, their ages total 36 years.
J + L = 36
:
How old is each person?
:
Substitute (L+16) for J in the above equation, find L:
(L+16) + L = 36
2L = 36 - 16
2L = 20
L = 10 yrs old
then
J = 10 + 16
J = 26