SOLUTION: The sum of two numbers is 53 over 24 and the difference of the same two numbers is 13 over 24. What are the numbers?

Question 120389: The sum of two numbers is 53 over 24 and the difference of the same two numbers is 13 over 24. What are the numbers?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!

Write an equation for each statememt
:
"The sum of two numbers is 53 over 24"
x + y =
:
"the difference of the same two numbers is 13 over 24."
x - y =
:
What are the numbers?
:
The denominators are the same so we can just deal with the numerators:
x + y = 53
x - y = 13
---------------adding eliminates y
2x = 66
x = 33
:
Find y
33 + y = 53
y = 53 - 33
y = 20
:
The two numbers are: ,
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