SOLUTION: Two numbers have sum of 32. If the second is five less than four times the first, what are the two numbers?

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Question 106896: Two numbers have sum of 32. If the second is five less than four times the first, what are the two numbers?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = the 1st number
:
Two numbers have sum of 32.
If the 1st number = x, then the 2nd number = (32-x)
:
"the second is five less than four times the first,"
(32 - x) = 4x - 5
32 + 5 = 4x + x
37 = 5x
:
what are the two numbers?
x = 37/5
x = 7.4 is the 1st number
:
Find the 2nd number:
32 - 7.4 = 24.6 is the 2nd number
:
:
Check solution in the statement:
"the second is five less than four times the first,"
24.6 = 4(7.4) - 5
24.6 = 29.6 - 5; confirms our solution