SOLUTION: tony is 4 years older than julia. the sum of their ages are their ages is 30. how old are they?

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Question 709552: tony is 4 years older than julia. the sum of their ages are their ages is 30. how old are they?

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
let Tony's age be x and Julia's age y
if Tony is 4 years older than Julia, then
x=y%2B4.....eq. 1

if the sum of their ages are their ages is 30, then
x%2By=30.....eq. 2..substitute x from eq. 1
y%2B4%2By=30......solve for y
2y=30-4
2y=26
y=26%2F2
highlight%28y=13%29........Julia's age
now go back to eq. 1 and solve for x
x=13%2B4.....eq. 1
highlight%28x=17%29.......Tony's age