SOLUTION: Sam is twice as old as her friend Peter. Peter is 7 years older than Alice. In 5 years, Sam will be three times as old as Alice. How old is Peter now?

Question 666548: Sam is twice as old as her friend Peter. Peter is 7 years older than Alice. In 5 years, Sam will be three times as old as Alice. How old is Peter now?
Answer by ReadingBoosters(3246) (Show Source): You can put this solution on YOUR website!
Establish variables.
x = sam
y = peter
z = alice
...
Given
x = 2y
y = z+7
x = 3z+5
Solve for y
...
Set x variables as equal to each other
2y = 3z+5
Substitute y
2(z+7) = 3z+5
Distribute 2
2z + 14 = 3z + 5
Combine like terms
14 - 5 = 3z - 2z
z = 9
...
y = z + 7 = the age of Peter.
.....................
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