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

**x = Mario's age now**

x - 4 = Kristine'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**

*- Algebra House*