SOLUTION: Matt is one year older than five times Kelly's age. In three years, Matt will be only three times Kelly's age. How old are they now?

Question 675054: Matt is one year older than five times Kelly's age. In three years, Matt will be only three times Kelly's age. How old are they now?
Answer by rm29924(97) (Show Source): You can put this solution on YOUR website!
Let x = Kelly's current age
Matt's current age is 5x+1
Kelly's age in 3 years = x+3
Matt's age in 3 years = 5x+1+3
Matt's age in 3 years = 3 times Kelly's age in 3 years
5x+1+3 = 3(x+3)
5x+4=3x+9
subtract 4 from both sides
5x=3x+5
subtract 3x from both sides
2x=5
divide both sides by 2 to get x by itself
x=2.5
answer: Kelly is 2.5 years old
Matt is 5(2.5)+1 = 13.5 years old

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