SOLUTION: One number is five more than the other number. Their sum is 285. What are they?

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Question 91067: One number is five more than the other number. Their sum is 285. What are they?
Answer by tutor_paul(519) About Me  (Show Source):
You can put this solution on YOUR website!
One number is five more than the other number. Their sum is 285. What are they?
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This is a problem of 2 equations and 2 unknowns. Any time you have at least as many equations as you have unknowns, you can solve the problem. First, let's develop the equations:
Let x be one number and y be the other number. From the first sentence of the problem, I can write an equation:
Equation #1: x=y%2B5
From the second sentence in the problem, I can write another equation:
Equation #2: x%2By=285
Now that you have 2 equations developed for the 2 unknowns, you can solve this!
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First, substitute the expression for x from Equation #1 into Equation #2:
%28y%2B5%29%2By=285
Simplify the left side:
2y%2B5=285
Solve for y:
2y=280
highlight%28y=140%29
Now that you have a value for y, substitute that back into Equation #1 and solve for x. I will leave that part to you.
Good Luck,
tutor_paul@yahoo.com