SOLUTION: The larger of two numbers is 10 more than the smaller number. 5 times the larger number is 40 more than 6 times the smaller number. what are the two numbers?

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Question 665853: The larger of two numbers is 10 more than the smaller number.
5 times the larger number is 40 more than 6 times the smaller number.
what are the two numbers?

Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
x = larger number
y = smaller number
...
x = 10+y
5x=40+6y
...
Substitution of x into the second equation
5(10+y)=40+6y
50 + 5y = 40 + 6y
...
Isolate y
5y - 6y = 40 - 50
-y = -10
Divide both sides by -1
highlight%28y+=+10%29 is the smaller number
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Rearrange x = 10+y to y = x-10
Substitute into 5x=40+6y
5x = 40 + 6(x-10)
5x = 40 + 6x - 60
...
Isolate x
5x - 6x = 40 - 60
-x = -20
Divide both sides by -1
highlight%28x+=+20%29 is the larger number
...
Check

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