Question

The denominator of a fraction is greater than its numerator by 18 . If 8 is added to both its numerator and denominator it reduced to 1/13 . Find the fraction?​

Answer 1

Correct Question:

The denominator of a fraction is greater than its numerator by 18. If 8 is added to both its numerator and denominator it reduced to 1/3. Find the fraction?

Answer:

• The original fraction is 1/19.

Step-by-step explanation:

Given that:

• The denominator of a fraction is greater than its numerator by 18.
• 8 is added to both its numerator and denominator it reduced to 1/3.

To Find:

• The original fraction.

Let us assume:

• Numerator be x
• Denominator = x + 18

When 8 is added to both its numerator and denominator:

• Numerator = x + 8
• Denominator = x + 18 + 8

Finding the fraction:

According to the question.

⟿ (x + 8)/(x + 18 + 8) = 1/3

Cross multiplication.

⟿ 3(x + 8) = x + 26

⟿ 3x + 24 = x + 26

⟿ 3x - x = 26 - 24

⟿ 2x = 2

⟿ x = 2/2

⟿ x = 1

We get:

• Numerator = x = 1
• Denominator = x + 18 = 1 + 18 = 19

• Original fraction = Numerator/Denominator
• Original fraction = 1/19

Answer 2

Answer:

Given :-

The denominator of a fraction is greater than its numerator by 18 . If 8 is added to both its numerator and denominator it reduced to 1/3

Solution :-

Let the numerator be y

Now

y + 8/y + 8 + 16 = 1/3

y + 8/y + 26 = 1/3

3(y + 8) = y + 26

3y + 24 = y + 26

2y = 2

y = 1

Fraction = 1/1 + 18 = 1/19