Question 662720: One number is four less than three times another. If their sum is increased buy five, the result is twenty-five. Find the numbers. I think it is 3x - 4= y + 5 = 25. Am I reading this correct? Or am I getting this wrong in some places? Help please?
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! One number is four less than three times another.
If their sum is increased buy five, the result is twenty-five.
Find the numbers. I think it is 3x - 4= y + 5 = 25. Am I reading this correct? Or am I getting this wrong in some places? Help please?
:
Let x = one number
Let y = another number
:
The word "is" usually indicates an equal sign, write two separate equations
:
x = 3y - 4
and
x + y + 5 = 25
x + y = 25 - 5
x + y = 20
x = (20-y), use this for substitution for x in the first equation
:
20 - y = 3y - 4
20 + 4 = 3y + y
24 = 4y
y = 24/4
y = 6
:
Use the first equation to find x, replace y with 6
x = 3(6) - 4
x = 18 - 4
x = 14
:
:
Check solution in the statement:
"If their sum is increased buy five, the result is twenty-five. "
14 + 6 + 5 = 25
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