Question

The sum of a numerator and denominator of a fraction is 18. If the denominator increased by 2, the fraction reduces to 1/3. Find the fraction.

Answer 1

Length is twice the breadth.

→ Length = 2 * x = 2x m.

Also,

Perimeter of the field = 150 m.

We know that,

Perimeter of a rectangle = 2(length + breadth).

Hence,

→ 150 = 2(x + 2x)

→ 150 = 2 * 3x

→ x = 150/2 * 3

→ x = 25

Explanation:

Answer 2

Given:

Sum of the numerator and denominator = 18

If the denominator is increased by 2 , the fraction reduces to 1/3.

Find:

the fraction

Solution:

Let the fraction be x/y.

⟹ x + y = 18

⟹ x = 18 - y -- equation (1)

And,

If the denominator is increased by 2 , the fraction reduces to 1/3.

⟹ x/y + 2 = 1/3

⟹ 3x = y + 2

Substitute the value of x from equation (1).

⟹ 3(18 - y) = y + 2

⟹ 54 - 3y = y + 2

⟹ 54 - 2 = y + 3y

⟹ 52 = 4y

⟹ 52/4 = y

⟹ 13 = y

Substitute the value of y in equation (1).

⟹ x = 18 - 13

⟹ x = 5

Therefore, the required fraction x/y is 5/13.

I hope it will help you.

Regards.