Question

Two people. tom and marcy have combined age of 115 years. the differences in their age is 5 years. what is the age of each person? slove using a system of equations where:

x= toms age y= ?

equations ? + ? =?

?+?=

Answer 1

Marcy is 55, Tom is 60

Explanation:

x= toms age

y= Marcy's age

x+y = 115

x-y = 5

We will want to use elimination since we have a +y and a -y in the system of equations. Add the equations together

x+y = 115

x-y = 5

-----------------

2x = 120

Divide by 2

2x/2 = 120/2

x = 60

Tom is 60

We need to find marcy's age

x+y = 115

60+y = 115

Subtract 60 from each side

60-60 +y = 115-60

y = 55

Marcy is 55