Kit is twice as old as his friend Sam. Sam is 5 years older than Cara. In 5 years, Kit will be three times as old as Cara. How old is Sam?
ages now
x = Cara's age now x + 5 = Sam's age now {Sam is 5 years older than Cara} 2(x + 5) = Kit's age now {Kit is twice as old as Sam} ages in 5 years x + 5 = Cara's age in 5 years {added 5 onto current age} x + 10 = Sam's age in 5 years {added 5 onto current age} 2x + 15 = Kit's age in 5 years {added 5 onto current age} 2x + 15 = 3(x + 5) {in five years, Kit will be three times as old as Cara} 2x + 15 = 3x + 15 {used distributive property} x = 0 {subtracted 2x and 15 from each side} x + 5 = 5 {substituted 0, in for x, into x + 5} ages now Cara is 0 {apparently, not 1 year old yet!} Sam is 5 Kit is 10 ages in 5 years Cara will be 5 Sam will be 10 Kit will be 15 Ask the House
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