Scott is 6 years older than Rebecca. In 9 years, the sum of their ages will be 52. How old is Scott now?
Ages now
x = Rebecca’s age now x + 6 = Scott’s age now {Scott is 6 years older than Rebecca} Ages in 9 years x + 9 = Rebecca’s age in 9 years x + 15 = Scott’s age in 9 years {added 9 onto current ages} x + 9 + x + 15 = 52 {in 9 years, the sum of their ages will be 52} 2x + 24 = 52 {combined like terms} 2x = 28 {subtracted 24 from each side} x = 14 {divided each side by 2} x + 6 = 20 {substituted 14, in for x, into x + 6} Scott is 20 now Ask the House
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