SOLUTION: Find two positive integers whose sum is 48, and whose sum also equals twice their difference. What is the smaller and lager integer?

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Question 19590: Find two positive integers whose sum is 48, and whose sum also equals twice their difference. What is the smaller and lager integer?
Answer by xcentaur(357) About Me  (Show Source):
You can put this solution on YOUR website!
Let the two numbers be x and y
then x+y=48....[1]
and x+y=2(x-y)...[2]


Then we get,
48=2(x-y)
24=x-y


x+y=48
x-y=24
Adding the two equations we get,
2x=72
x=36


x+y=48
so y=48-x=48-36=12


x=36,y=12


-Prabhat