Question

A fraction becomes 1/3 when 1 is added to the numerator and it became 1/4 when 8 is added to its denominator . Find the fraction.​

Answer 1

Answer:

It become 1/4 when 8 is added to its denominator. Hence, the fraction is 5/12.

Step-by-step explanation:

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Answer 2

Given:-

• A fraction becomes 1/3 when 1 is added to the numerator.
• It becomes 1/4 when 8 is added to the denominator.

Solution:-

${\sf \blue {let \: the \: fraction \: be \: \frac{x}{y} }}$

ATQ:-

$\sf \large\frac{x - 1}{y} = \frac{1}{3}$

$\sf \large{3x - y = 3\qquad \qquad\bf \longrightarrow {\blue{(i)}}}$

$\sf \large \frac{x}{y} + 8 = \frac{1}{4}$

$\sf \large{4x - y = 8\qquad \qquad\bf \longrightarrow {\blue{(ii)}}}$

Subtracting equation (i) from equation (ii).

We get the value of x as 5

Putting the value in equation:-

15 - y = 3

y = 12

${\boxed {\sf \blue{ \therefore \: the \: fraction \: is \: \frac{5}{12} }}}$

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