Sam is 9 years older than nick. 7 years ago he was 4 times as old as nick. How old is sam now?

**x = Nick's age now**

**x + 9 = Sam's age now**{Sam is 9 years older than Nick}

**x - 7 = Nick's age 7 years ago**

**x + 2 = Sam's age 7 years ago**{subtracted 7 from age now}

x + 2 = 4(x - 7) {seven years ago, Sam was four times Nick}

x + 2 = 4x - 28 {used distributive property}

3x = 30 {added 28 and subtracted x from each side}

x = 10 {divided each side by 3}

x + 9 = 19 {substituted 10, in for x, into x + 9}

**Sam is 19**

*- Algebra House*