SOLUTION: The sum of two numbers is 50. One number is 5 less than 4 times the other number. Find the numbers. "I get stuck right at the beginning, because I'm not sure whether I use 2 va

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Question 430228: The sum of two numbers is 50. One number is 5 less than 4 times the other number. Find the numbers.
"I get stuck right at the beginning, because I'm not sure whether I use 2 variableas or just one! I know how to set up the first sentence, but the second one confuses me. "
Found 2 solutions by stanbon, ewatrrr:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of two numbers is 50. One number is 5 less than 4 times the other number. Find the numbers.
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Equations:
x + y = 50
x = 4y-5
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Substitute for "x" and solve for "y":
4y-5+y = 50
5y = 55
y = 11
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Solve for "x":
x = 4y-5
x = 4*11-5
x = 39
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Cheers,
Stan H.

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

The sum of two numbers is 50. x+y = 50 and y = (50-x)

regardless, starting with one or 2, we would using one to complete

Let x and (50-x) represent the two numbers. 

  x = 4(50-x)-5

 5x = 195

  x = 39    the numbers are 39 and 11



39 = 4*11 - 5 = 44-5