SOLUTION: The sum of two numbers is 133. Four times the smaller of the two numbers equals three times the greater number. Find the numbers.

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Question 175811: The sum of two numbers is 133. Four times the smaller of the two numbers equals three times the greater number. Find the numbers.
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

Remember----->system%28x=SmallerNumber%2Cy=GreaterNumber%29}
1st Condition:
x%2By=133
2nd condition:
4x=3y-----> we get: cross%284%29x%2Fcross%284%29=%283y%29%2F4
x=%283%2F4%29y, condition 3 & subst in condition 1:
.
%283%2F4%29y%2By=133
%283y%2B4y%29%2F4=133, cross multiply
7y=133%2A4=532
cross%287%29y%2Fcross%287%29=cross%28532%2976%2Fcross%287%29
highlight%28y=76%29, Greater Number
Go back condition 3:
x=%283%2F4%29%2876%29=228%2F4
highlight%28x=57%29, Smaller Number
In doubt? Check via condition 2:
4%2A57=3%2A76
228=228
Thank you,
Jojo