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Simon and his niece marcie are comparing their ages to see if there is a mathematical connection. They find that Simon is three years more than four times marcie' age. The sum of their ages is 58. Let m be marcie's age. Could marcie be seven years old? Write an expression for Simon's age in terms of the variable m. Write and equation that models the information given Now solve for m? What is marcie's age? What is Simon's age?

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Answer:

The expression for Simon's age in terms of the variable m would indicate that Simon's age is equal to four times Marcie's age plus 3:

s=4m+3 (1)

Also, you know that the sum of their ages is 58, which is:

s+m=58 (2)

You can replace (1) in (2) and solve for m to find Marcie's age:

4m+3+m=58

5m=58-3

5m=55

m=55/5

m=11

Finally, you can replace m in (1) to find Simon's age:

s=4(11)+3

s=44+3

s=47

According to this, Marcie is 11 years old and Simon is 47 years old.

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