SOLUTION: The greater of two numbers is 10 more than the smaller. Their sum is 38. Find the numbers.

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Question 711783: The greater of two numbers is 10 more than the smaller. Their sum is 38. Find the numbers.
Found 2 solutions by checkley79, stanbon:
Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
X+Y=38
Y=X+10
X+(X+10)=38
2X=38-10
2X=28
X=28/2
X=14 ANS.
14+Y=38
Y=38-14
Y=24 ANS.
PROOF:
24=14+10
24=24

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The greater of two numbers is 10 more than the smaller. Their sum is 38. Find the numbers.
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Equations:
g + s = 38
g = s + 10
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Substitute for "g" and solve for "s":
s+10 + s = 38
2s = 28
smaller = 28
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Solve for "g":
g = s + 10
g = 28 + 10
greater = 38
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Cheers,
Stan H.
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