Jack is three years older than Jill. Three years ago, Jill's age was four-fifths of Jack's age. How old is each now?

**x = Jill’s age now**

x + 3 = Jack’s age now{Jack is three years older than Jill}

x + 3 = Jack’s age now

**x - 3 = Jill’s age three years ago**

x = Jack’s age three years ago{subtracted three from current ages}

x = Jack’s age three years ago

x - 3 = (4/5)x {three years ago, Jill's age was four-fifths of Jack's age}

5x - 15 = 4x {multiplied entire equation by 5 to eliminate fraction}

x = 15 {subtracted 4x and added 15 to each side}

x + 3 = 18 {substituted 15, in for x, into x + 3}

**Jill is 15**

Jack is 18

Jack is 18

**Ask the House**