SOLUTION: Kristine is 4 years younger than Mario. Three years from now she will be two-thirds as old as Mario. Find their present age.

Question 933797: Kristine is 4 years younger than Mario. Three years from now she will be two-thirds as old as Mario. Find their present age.
Answer by algebrahouse.com(1659) (Show Source): You can put this solution on YOUR website!
x = Mario's age now
x - 4 = Kristine's age now

x + 3 = Mario's age in 3 years {added 3 on to present age}
x - 1 = Kristine's age in 3 years {added 3 on to present age}

x - 1 = (2/3)(x + 3) {three years from now, she will be 2/3 his age}
3(x - 1) = 2(x + 3) {multiplied entire equation by LCD, 3, to eliminate fraction}
3x - 3 = 2x + 6 {used distributive property}
x - 3 = 6 {subtracted 2x from each side}
x = 9 {added 3 to each side}
x - 4 = 5 {substituted 9, in for x, into x - 4}

Mario is 9
Kristine is 5

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