SOLUTION: Separate the number 92 into two parts. When one part is divided by the other part, the result is 4 with a remainder of 2. What is the fraction formed by the two parts?

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: Separate the number 92 into two parts. When one part is divided by the other part, the result is 4 with a remainder of 2. What is the fraction formed by the two parts?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1079323: Separate the number 92 into two parts. When one part is divided by the other part, the result is 4 with a remainder of 2. What is the fraction formed by the two parts?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Let x and y be the two parts with y%3Ex
We know that
x%2By=92 , because both parts add up to 92 .
and that
y=4x%2B2 , because when y is divided by x,
the result is 4 with a remainder of 2.
We solve the system made by those 2 linear equations
by substituting 4x%2B2 for y in x%2By=92 .
x%2B4x%2B2=92
5x%2B2=92
5x=92-2
5x=90
x=90%2F5
x=18
y=4x%2B2=4%2A18%2B2=72%2B2=74
The fractions 18%2F74 and 74%2F18 are formed by the two parts,
but maybe they mean to consider only the proper fraction
(the one that is less than 1).
That is 18%2F74=highlight%289%2F37%29 .