<PRE><B>Question 89899</B>
if the larger of two integers whose sum is 88 is divided by the smaller the quotient is 5 and the remainder is 10. what are the 2 nos.?
:
x + y = 88
y = (88 - x)
:
{{{((x-10))/y}}} = 5
:
Multiply equation by y
x-10 = 5y
:
Substitute (88-x) for y:
x - 10 = 5(88-x)
:
x - 10 = 440 - 5x
:
x + 5x = 440 + 10
:
6x = 450
:
x = 75
:
y = 88 - 75 = 13
:
:
Check: Divide 75 by 13 you get 5 with a remainder of 10</PRE>