Question 1015753
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.