Daniel is 28 years younger than Kevin. Kevin and Daniel first met 3 years ago. Eight years ago, Kevin was 5 times as old as Daniel. How old is Daniel now?

**k = Kevin's age now**

k - 28 = Daniel's age now

k - 28 = Daniel's age now

The fact that they met 3 years ago means nothing.

**k - 8 = Kevin's age 8 years ago**{subtracted 8 from Kevin's age now}

**k - 36 = Daniel's age 8 years ago**{subtracted 8 from Daniel's age now}

k - 8 = 5(k - 36) {8 years ago, Kevin was 5 times as old as Daniel}

k - 8 = 5k - 180 {used distributive property}

-8 = 4k - 180 {subtracted k from each side}

4k = 172 {added 180 to each side}

k = 43 {divided each side by 4}

k - 28 = 15 {substituted 43, in for k, into k - 28}

**Daniel is 15 now.**

*- Algebra House*