SOLUTION: The sum of two numbers is 46, and 1/4 the larger number exceeds 1/6 the smaller by 4. Find the numbers.

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Question 273935: The sum of two numbers is 46, and 1/4 the larger number exceeds 1/6 the smaller by 4. Find the numbers.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of two numbers is 46,
x + y = 46
Or for substitution
x = (46-y)
:
and 1/4 the larger number exceeds 1/6 the smaller by 4.
1%2F4x = 1%2F6%29y + 4
Multiply by 12 to get rid of the denominators, results
3x = 2y + 12(4)
3x = 2y + 48
from the 1st equation; substitute (46-y) for x
3(46-y) = 2y + 48
138 - 3y = 2y + 48
138 - 48 = 2y + 3y
90 = 5y
y = 90%2F5
y = 18
:
I'll let you find x; check solutions in the 2nd statement