SOLUTION: How do I solve by using a system of two equations in two variables? Five years ago, Tom was one third as old as his father was then. In 5 years, Tom will be half as old as his

Question 141290This question is from textbook prentice hall algebra 1
: How do I solve by using a system of two equations in two variables?
Five years ago, Tom was one third as old as his father was then. In 5 years, Tom will be half as old as his father will be then. Find their ages now. This question is from textbook prentice hall algebra 1

Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
let x=Tom and y=father

"Five years ago, Tom was one third as old as his father was then" __ 3(x-5)=y-5 __ 3x-15=y-5 __ 3x-10=y

"In 5 years, Tom will be half as old as his father will be then" __ 2(x+5)=y+5 __ 2x+10=y+5 __ 2x+5=y

substituting __ 3x-10=2x+5 __ x=15

substituting __ 2(15)+5=y __ 35=y
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