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​​ALGEBRA eXAMPLES

Age Problem with Bill and Cindy

9/3/2013

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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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