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

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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)   (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



Edwin

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

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

if Pedro is years younger than his grandfather, then
............eq.1
if in years, his grandpa will be his age, we have

........eq.2
solve the system:
............eq.1
........eq.2
-------------------------------------------
substitute from eq.1 in eq.2
........eq.2, solve for





go to
............eq.1,substitute



Pedro is years old.


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