SOLUTION: dave is 4 years older than his sister may, if their ages are added together  the sum is 14. What are the ages of dave and may?

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Question 1156637: dave is 4 years older than his sister may, if their ages are added together  the sum is 14. What are the ages of dave and may?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

let Dave's age be x and his sister's age y
if Dave is 4 years older than his sister May, we have
x=y%2B4.......eq.1

if their ages are added together the sum is 14, we have
x%2By=14.....eq.2....substitute x from eq.1
y%2B4%2By=14
2y=14-4
2y=10
y=5
go to
x=y%2B4.......eq.1, substitute y
x=5%2B4
x=9

so, Dave's is 9 years old, and his sister May is 5 years old