SOLUTION: 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 nonw?

Question 401132: 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 nonw?
Answer by algebrahouse.com(1659) (Show Source): You can put this solution on YOUR website!
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.
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