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 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 Comments are closed.

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