Question

the denominator of a rational numbar is greater than itna numerator bat 7, if tha numerator us decreased bhi 17 ans denominator is increased by 3, the new number becomes 2/5. find the original number
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Answer 1

Answer:

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 =x+7-6=x+1

Then, this must be equal to 2.

$x+17/x+1=2$

$(x+17)=2(x+1)$

$x+17=2x+2$

$2x−x=17−2$

$x=15$

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