Question

the numerator of a friction is 4 less than the denominator if 1 is added to both its numerator and denominator it becomes 1/2 find the fraction

Answer tell within 5 minutes


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Answer 1

Answer:

Numerator of the fraction is 3 and its denominator is 7.

Given:

A numerator of a fraction is 4 less than its denominator.

If 1 is added to both numerator and denominator it becomes 1/2.

To find:

What is the fraction?

Solution:

Let the numerator be x.

Then, denominator = x+4.

Fraction = x/x+4

Now, x+1/x+4+1 = 1/2

=> x+1/x+5 = 1/2

=> 2x+2 = x+5

=> 2x-x = 5-2

=> x = 3.

Now, Numerator = x = 3.

And denominator = x+4 = 7.

Verification:

Numerator+1/denominator+1 = 1/2

=> 3+1/7+1 = 1/2

=> 4/8 = 1/2

=> 1/2 = 1/2

Here, LHS = RHS.

Hence, verified.