Question

2. The numerator of a fraction 2 poi
is 4 less than its denominator.
If 2 is added to the numerator
then the fraction becomes 5/7
Find the fraction.
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Answer 1

Answer:

Correct Question :

The numerator of a fraction is 4 less than its denominator. If 2 is added to the numerator then the fraction becomes 5/7 Find the fraction.

Step-by-step explanation:

Let,

The numerator of a fraction = x

The denominator of a fraction = x + 4

If 2 is added to the numerator :

The numerator of a fraction = x + 2

If 2 is added to the numerator

then the fraction becomes 5/7

So,

⇒ $\frac{x \: + \: 2}{x \: + \: 4} \: \: = \: \: \frac{5}{7}$

⇒ 7 (x + 2) = 5 (x + 4)

⇒ 7x + 14 = 5x + 20

⇒ 7x - 5x = 20 - 14

⇒ 2x = 6

⇒ x = 6 / 2

⇒ x = 3

The numerator of a fraction = 3

The denominator of a fraction = x + 4

⇒ x + 4

⇒ 3 + 4

⇒ 7

Therefore,

$The \: fraction \: is \: \: \frac{3}{7}$

Answer 2

Step-by-step explanation:

Assume that the numerator be x & denominator be y. Therefore, the fraction is x/y.

The numerator of a fraction is 4 less than it's denominator.

→ x = y - 4 ..........(1)

If 2 is added to the numerator then the fraction becomes 5/7.

As per given condition,

→ (x + 2)/y = 5/7

→ 7(x + 2) = 5y

→ 7x + 14 = 5y

→ 7(y - 4) + 14 = 5y

→ 7y - 28 + 14 = 5y

→ 7y - 5y = 14

→ 2y = 14

→ y = 7

Substitute value of y in (1)

→ x = 7 - 4

→ x = 3

Hence, the fraction is 3/7.