The numerator of a fraction is 6 less than its denominator. If the num

1.	The numerator of a fraction is 6 less than its denominator. If the numerator is decreased by 1 and the denominator is increased by 5, then the denominator becomes 4 times the numerator. Find the fraction.1. 4/112. 3/113. 5/114. 7/11
Answer» Correct Answer - Option 3 : 5/11 Given: The numerator of the fraction is 6 less than its denominator. If the numerator is decreased by 1 and the denominator is increased by 5, then the denominator becomes 4 times the numerator. Calculations: Let the numerator of the fraction be 'x'. According to question, Denominator = x + 6 Now, ⇒ 4 × (x - 1) = (x + 6) + 5 ⇒ 4x - 4 = x + 11 ⇒ x = 5 ⇒ Numerator of the fraction = 5 ⇒ Denominator of the fraction = x + 6 ⇒ 5 + 6 ⇒ 11 ∴ The fraction is 5/11. Topper's approach: Given: The numerator of the fraction is 6 less than its denominator. If the numerator is decreased by 1 and the denominator is increased by 5, then the denominator becomes 4 times the numerator. Concept used: Directly satisfy the conditions given in the question through options. Explanation: Only option 3 is there which satisfied the first condition that the numerator is 6 less than the denominator. ∴ The fraction is 5/11.

The numerator of a fraction is 6 less than its denominator. If the numerator is decreased by 1 and the denominator is increased by 5, then the denominator becomes 4 times the numerator. Find the fraction.1. 4/112. 3/113. 5/114. 7/11

Answer» Correct Answer - Option 3 : 5/11

Given:

The numerator of the fraction is 6 less than its denominator.

If the numerator is decreased by 1 and the denominator is increased by 5, then the denominator becomes 4 times the numerator.

Calculations:

Let the numerator of the fraction be 'x'.

According to question,

Denominator = x + 6

Now,

⇒ 4 × (x - 1) = (x + 6) + 5

⇒ 4x - 4 = x + 11

⇒ x = 5

⇒ Numerator of the fraction = 5

⇒ Denominator of the fraction = x + 6

⇒ 5 + 6

⇒ 11

∴ The fraction is 5/11.

Topper's approach:

Given:

The numerator of the fraction is 6 less than its denominator.

If the numerator is decreased by 1 and the denominator is increased by 5, then the denominator becomes 4 times the numerator.

Concept used:

Directly satisfy the conditions given in the question through options.

Explanation:

Only option 3 is there which satisfied the first condition that the numerator is 6 less than the denominator.

∴ The fraction is 5/11.