SOLUTION: find two numbers whose difference is 18 and 1/4 of whose sum is 9.

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Question 447887: find two numbers whose difference is 18 and 1/4 of whose sum is 9.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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find two numbers whose difference is 18 and 1/4 of whose sum is 9.
:
Two numbers, x & y
:
"difference is 18"
x - y = 18
:
and 1/4 of whose sum is 9.
1%2F4(x + y) = 9
multiply both sides by 4
x + y = 4(9)
x + y = 36
add to the 1st equation
x - y = 18
x + y = 36
-----------adding eliminates y find x
2x = 54
x = 54%2F2
x = 27
then
27 + y = 36
y = 36 - 27
y = 9
:
:
Check solution in original 2nd equation
1%2F4(27 + 9) =
1%2F4(36) = 9