SOLUTION: the sum of two numbers is sixty-three. if five times the smaller number is four times the larger number, find the numbers..... so basicly i need to know how to get the small n

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Question 762324: the sum of two numbers is sixty-three. if five times the smaller number is four times the larger number, find the numbers.....

so basicly i need to know how to get the small number and the large number.
Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
Equation 1: A+%2B+B+=+63
Equation 2: 5A+=+4B
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Solve one of the equations for one of the variables.
I will solve equation 2 for A by dividing both sides by 5.
Equation 2: 5A+=+4B
A+=+%284%2F5%29B
Now plug (4/5)B into equation 1 for A.
Equation 1: A+%2B+B+=+63
%284%2F5%29B+%2B+B+=+63
B by itself can also be written as 1B or (5/5)B. They are all equal.
%284%2F5%29B+%2B+%285%2F5%29B+=+63
Combine like terms.
%289%2F5%29B+=+63
Multiply both sides by 5/9
cross%28%285%2F9%29%2A%289%2F5%29%29%2AB+=+63%2A%285%2F9%29
highlight%28B+=+35%29
Now solve for A.
A+=+%284%2F5%29B
A+=+%284%2F5%29%2A35
highlight_green%28A+=+28%29