<PRE><B>Question 940677</B>
let the larger number be x.
let the smaller number be y.


you get:


larger number divided by smaller number = 2 + remainder of 2 becomes:


x/y = 2 + 2/y


5 times smaller number divided by larger number= 2 + remainder of 2 becomes:


5y/x = 2 + 2/x


solve for x in the equation of x/y = 2 + 2/y to get:


x = 2y + 2


replace x with 2y + 2 in the equation of 5y/x = 2 + 2/x to get:


5y/(2y + 2) = 2 / (2y + 2)


solve for y in this equation to get:


y = 6


replace y with 6 in the equation of x/y = 2 + 2/y to get:


x = 14


14/6 = 2 + remainder of 2.


5 * 6 = 30 / 14 = 2 + remainder of 2.


the solution is correct.


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