Question

3)
The denominator of a fraction exceeds its numerator by 7. If the numerator
is increased by 1 and the denominator is decreased by 1, the fraction
becomes =1/2
. Find the fraction​

Answer 1

Answer:

The answer is given in above photo

Answer 2

Let the numerator be x and the denominator be y.

$y = x + 7$

$\frac{x + 1}{y - 1}= \frac{1}{2}$

$\implies \: 2x + 2 = y - 1$

$\implies \: 2x - y = - 3$

Take y as x+7

$\implies \: 2x - (x + 7) = - 3$

$\implies \: x - 7 = - 3$

$\implies \: x = 4$

$y = x + 7$

$y = 11$

FRACTION = $\frac{4}{11}$