Question

numerator and denominator of a fraction are in the ratio 3:5.if 4 is subtracted from the numerator, it reduces to 1/5. find the fraction.

Answer 1

When the numerator and denominator of a
fraction are each increased by 5, the value of
the fraction becomes 3/5 When the numerator
and denominator of that same fraction are each
decreased by 5, the fraction is then 1/5 Find the
original fraction. (Hint: Let the fraction be p/q...

Answer 2

Given:-

• Numerator : Denominator = 3 : 5

• If 4 subtracted from numerator it reduces 1 by 5.

To Find:-

• The Fraction

Solution:-

Let numerator be $3x$

And denominator be $5x$

So, Fraction will be $\dfrac{3x}{5x}$

According to question,

New numerator will be = $3x-4[\tex]</p><p></p><p>Which gives [tex]\dfrac{1}{5}$

So new fraction:

$⇒ \dfrac{3x - 4}{5x} = \dfrac{1}{5}$

$⇒5×(3x-4)=5x$

$⇒15x−20=5x$

$⇒15x−5x=20$

$⇒10x=20$

$⇒x=2$

Fraction = $\dfrac{3x}{5x}$ = $\dfrac{3×2}{5×2}$ = $\dfrac{6}{10}$

━━━━━━━━━━━━━━━━━━