Question

The denominator of a rational number is greater than its numerator by 7. If the numerator
is increased by 17 and the denominator decreased by 6, the new number becomes 2. Find
the original number
​

Answer 1

The original number is 15/22

Solution:

Let us take the numerator to be x.

So, the denominator will be x+7.

Given condition is

The numerator when increased by 17 = x+17

and the denominator when decreased by 6

Then, this must be equal to 2.

Thus, the numerator = x = 15.

As per the condition, the denominator is greater than its numerator by 7.

And, the denominator = x+7 = 15+7 = 22

So, the fraction is =15/22

Thus, the original number is the fraction of 15/22

Answer 2

Answer:

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