SOLUTION: separate 106 into two parts so that when the greater is divided by the smaller the quotient is 4 and the remainder is 1

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Question 951729: separate 106 into two parts so that when the greater is divided by the smaller the quotient is 4 and the remainder is 1
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
x and y sum to 106.
x%3Cy
-
system%28x%2By=106%2Cy%2Fx=4%2B1%2Fx%29

x=106-y
;
%28y%2Fx%29x=4x%2B%281%2Fx%29x
y=4x%2B1
y=4%28106-y%29%2B1
y=4%2A106-4y%2B1
5y=424%2B1=425
y=425%2F5
highlight%28y=85%29

Using y to evaluate x,
highlight%28x=21%29