Bill is seven times old as his niece, Cindy. Five years from now, Bill will be four times as old as Cindy will be then. How old is Cindy now? x = Cindy's age now
7x = Bill's age now {he is seven times as old as Cindy} x + 5 = Cindy's age in 5 years 7x + 5 = Bill's age in 5 years 7x + 5 = 4(x + 5) {in 5 years Bill will be 4 times as old as Cindy} 7x + 5 = 4x + 20 {used distributive property} 7x = 4x + 15 {subtracted 5 from both sides} 3x = 15 {subtracted 4x from both sides} x = 5 {divided both sides by 3} 7x = 35 {substituted 5 in for x into 7x} Cindy is 5 now Bill is 35 now  Algebra House
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