Question 971817
numbers are x and y, y is larger.
 x+y=91

(y/x)=(14) +1   Be careful here.  The quotient is not 14 +1, it is 14 and there is one added to it.

multiply second by x
y=(14x) +1
substitute

x+ 14x + 1 = 91

15 x=90
x=6
y=85

85/6  = 14, remainder is 1

numbers are 6 and 85.