Question

A fraction becomes 8⁄9 when 1 is added to both the numerator and denominator and it becomes 7⁄8 when 1 is subtracted from both the numerator and denominator. what is the fraction ?

Answer 1

Let the numerator be x and denominator be y.
X+1/ y+1 = 8/9
9x-8y =-1
X-1/y-1 =7/8
8x -7y =1
Subtracting. ...we get
Y = 17
Substituting. ... we get
X =15
The fraction is ..... 15/17
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