Question

Denominator of a number is 4 less than its numerator.If 6 is added to the numerator,it becomes thrice the denominator.Find the fraction

Answer 1

Let the numerator be x.
Denominator = x-4
Now, As per the question,
x+6 = 3(x-4)
i.e. x= 9.
Thus, fraction will be 9/5.

Answer 2

Given,

The denominator of a number is 4 less than its numerator.

If 6 is added to the numerator, it becomes thrice the denominator.

To find,

The fraction.

Solution,

The fraction will be 9/5.

We can easily solve this problem by following the given steps.

According to the question,

The denominator of a number is 4 less than its numerator.

If 6 is added to the numerator, it becomes thrice the denominator.

Now, let's take the numerator of the fraction to be x.

Then, the denominator will be (x-4).

So, we have the fraction as x/(x-4).

Now, according to the second statement of the question,

(x+6) = 3(x-4)

x+6 = 3x-12

x+6+12 = 3x ( Moving 12 from the right-hand side to the left-hand side results in the change from minus to plus.)

x+18 = 3x

18 = 3x-x

2x = 18

x = 18/2

x = 9

So, the numerator is 9.

Then, the denominator will be (9-4) which is 5.

Hence, the fraction is 9/5.