# SOLUTION: Sarah and Jill are sisters. Sarah is one year older than four times jill's age. The sum of their ages is 13 1/2. How old are Sarah and Jill?

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 Question 613077: Sarah and Jill are sisters. Sarah is one year older than four times jill's age. The sum of their ages is 13 1/2. How old are Sarah and Jill?Answer by ankor@dixie-net.com(15660)   (Show Source): You can put this solution on YOUR website!s = S's age j = J's age : Write an equation for each statement: ; Sarah is one year older than four times Jill's age. s = 4j + 1 : The sum of their ages is 13 1/2. s + j = 13 Replace s with (4j+1) 4j + 1 + j = 13 4j + j = 13 - 1 5j = 12 Let use decimals here 5j = 12.5 Multiply both sides by } which is .2 .2(5j) = .2 * 12.5 j = 2.5 age is J's age then s = 4(2.5) + 1 s = 10 + 1 s = 11 yrs is S's age