Question 73669
One number is 100 larger than another number. 
x is the smaller number, the larger number is (x+100)
:
If the larger number is divided by the smaller number, the quotient is 15 and the remainder is 2.
:
Since the divisor is x, the remainder will be 2/x
:
{{{((x+100))/x}}} = 15 + {{{2/x}}}
;
Mult equation by x, you then have:
x + 100 = 15x + 2
:
x - 15x = 2 - 100
-14x = -98
x = -98/-14
x = + 7
:
:
Check solution with a calc: 107/7 = 15.2857..; 2/7 = .2857...