Problema Solution

Sally is Bob’s younger sister, and she is 7 years younger than Bob. If you multiply Bob’s age by three and subtract Sally’s age, you get their mother’s age, which is 37 years. How old is Sally?

Answer provided by our tutors

let


s = the age of Sally

b = the age of Bob


Sally is 7 years younger than Bob


s = b - 7


multiply Bob’s age by three and subtract Sally’s age, you get their mother’s age, which is 37 years


3b - s = 37


by solving the system of equations


s = b - 7

3b - s = 37


we find


s = 8 years


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Sally is 8 years old.