SOLUTION: {2x+y=16 {3(x+y)=5x how do i make those equations as one age word problem?

Question 167500: {2x+y=16
{3(x+y)=5x
how do i make those equations as one age word problem?
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
the sum of two times Pauls age and Mike's age is 16 . Three times the sum of both of their ages is the same as five times Paul's age.
2x+y=16
{3(x+y)=5x
3x+3y=5x--->-2x+3y=0

add the 2 equations and the x terms are eliminated
so we have 4y=16---->y=4 so mike is 4

to find Pauls age plug into either equation.. 2x+4=16----->2x=12---->x=6 which would be pauls age

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