SOLUTION: Shelby is 7 times as old as Bonnie. In 5 years, the sum of their ages will be 98. What is Bonnie's age now?

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Question 1015753: Shelby is 7 times as old as Bonnie. In 5 years, the sum of their ages will be 98. What is Bonnie's age now?
Answer by 428225(90) About Me  (Show Source):
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Let Bonnie's age equal x and let Shelby's age equal 7x. This allows you to make an equation to solve for Bonnie's age.

(x+7x)+10=98
8x+10=98
8x=88
∴x=11

Since Bonnie's age is 11, Shelby's age is 7 times that which equals 77.
∴ Bonnie is 11 and Shelby is 77.