SOLUTION: Hi. Please help me solve this age problem. I need to solve it by using any system of linear equations. Pedro is 48 years younger than his grandfather. In 5 years, his grandpa w

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Hi. Please help me solve this age problem. I need to solve it by using any system of linear equations. Pedro is 48 years younger than his grandfather. In 5 years, his grandpa w      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1180357: Hi. Please help me solve this age problem. I need to solve it by using any system of linear equations.
Pedro is 48 years younger than his grandfather. In 5 years, his grandpa will be five times his age. How old is Pedro?
Found 2 solutions by Edwin McCravy, MathLover1:
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
Pedro is 48 years younger than his grandfather.
 
P = G - 48

In 5 years, his grandpa will be...
G + 5, which will equal...

five times his (Pedro's) age (in 5 years).
 
G + 5 = 5(P + 5)

So the system of equations is

system%28P=G-48%2CG%2B5=5%28P%2B5%29%29

Edwin

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

let Pedro’s age be x and his grandfather’s age y

if Pedro is 48 years younger than his grandfather, then
x=y-48............eq.1
if in 5 years, his grandpa will be five+times his age, we have
5%28x%2B5%29=y%2B5
5x%2B25=y%2B5........eq.2
solve the system:
x=y-48............eq.1
5x%2B25=y%2B5........eq.2
-------------------------------------------
substitute x from eq.1 in eq.2
5%28y-48%29%2B25=y%2B5........eq.2, solve for y
5y-240%2B25=y%2B5
5y-215=y%2B5
5y-y=215%2B5
4y=220
y=55
go to
x=y-48............eq.1,substitute y
x=55-48
x=7

Pedro is 7 years old.