SOLUTION: the sum of two numbers is 133. four times the smaller number equals 3 times the greater number. what are the numbers?

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Question 314424: the sum of two numbers is 133. four times the smaller number equals 3 times the greater number. what are the numbers?
Answer by Jstrasner(112) About Me  (Show Source):
You can put this solution on YOUR website!
Hey,
For this one you need to just write it all out
You know two things:
x+y=133
and
4x=3y
what you want to do is substitute these numbers for each other:
If you minus both sides by y in the first equation you'll get:
x=133-y
Then you can put this into the other equation:
4(133-y)=3y => 532-4y=3y => 532=7y => y=532/7 => y=76
You can then put this back into the original equation:
x+76=133 => x=133-76 => x=57
I hope this helped!