SOLUTION: one number divided by 6 is 37 less than another number. if the difference between the two numbers is 28, what are the two numbers?

Question 406297: one number divided by 6 is 37 less than another number. if the difference between the two numbers is 28, what are the two numbers?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
one number divided by 6 is 37 less than another number.
if the difference between the two numbers is 28, what are the two numbers?
:
Let x = one number
Let y = another number
:
Write an equation for each statement:
:
"one number divided by 6 is 37 less than another number."
= y - 37
Multiply both sides by 6
x = 6(y-37)
x = 6y - 222
:
" if the difference between the two numbers is 28,"
x - y = 28
x = (y+28)
:
Replace x with (y+28) in the 1st equation
y + 28 = 6y - 222
28 + 222 = 6y - y
250 = 5y
y =
y = 50
:
Then
x = 50 + 28
x = 78
:
:
See if that flies in the statement:
"one number divided by 6 is 37 less than another number. "
= 50 - 37
13 = 13, confirms our solutions of x=78. y=50

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