The denominator of a fraction decreases the numerator by 6 and if 8 be added to both the fraction b

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03 Mar 2021 Fraction

The denominator of a fraction decreases the numerator by 6 and if 8 be added to both the
fraction becomes 9 / 7. Find the fraction

OPtion

1) 19/13
2) 12/15
3) 15/12
4) 17/12
5) 13/19
6) 19/15
7) 21/19
8) 19/9
9) 19/17
10) None of the above

Solution

Let x be the numerator and the fraction be x / (x - 6).
By the question,
x + 8 / (x - 6 + 8) = 9 / 7
7x + 56 = 9x + 18
-2x = -38, x = 19
So, the fraction will be
19 / 13.

Correct Option: 1 Best Solution (2)