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.
