Question

numerator of a fraction is less than the denominator by 2 .if 3 is add to both the numerator and denominator the fraction becomes 4/5 find the original fraction ​

Answer 1

Answer:

let x be numerator and y be denominator.

fraction=x/y

Step-by-step explanation:

see the attachment...

hope it helps you....

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Answer 2

Answer:

The fraction is $\dfrac{5}{7}$

Step-by-step explanation:

Given :

Numerator of the fraction = less than the denominator by 2

When 3 is added = both the numerator and denominator the fraction becomes 4/5

To find :

The Original Number

Solution :

Let the -

• Denominator be x
• Numerator be (x - 2)

★ $\boxed{\sf{\frac{(x - 2) + 3}{x + 3} = \frac{4}{5}}}$

$\sf{\implies} \:\frac{(x - 2) + 3}{{x + 3}} = \frac{4}{5}$

$\sf{\implies} \:\frac{x + 1}{{x + 3}} = \frac{4}{5}$

$\sf{\implies} \:5(x + 1) = 4(x + 3)$

$\sf{\implies} \:5x + 5 = 4x + 12$

$\sf{\implies} \:5x - 4x = 12 - 5$

$\sf{\implies} \:x = 7$

Denominator = 7

$\rule{300}{1.5}$

Numerator =

$\sf{\implies} \:(x - 2)$

$\sf{\implies} \:7 - 2$

$\sf{\implies} \:5$

Numerator = 5

Fraction = $\boxed{\boxed{\frac{5}{7}}}$

$\therefore$ The fraction is $\dfrac{5}{7}$