## The denominator of a rational number is greator thqn its numerator by 7. If the numerator is increased by 17 and the denominator is decrease

Question

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

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12 hours 2021-10-13T06:29:09+00:00 2 Answers 0 views 0

The original number is 15/22.

## ExPlanation:

Let numerator be x.

So, the denominator will be x+7.

According to the question,

• If numerator is increased by 17 = x+17

• When denominator is decreased by 6=x+7-6=x+1.

Then the above value must be equal to 2.

So,

So ,the value of numerator will be x= 15.

Now as per given conditions,

• Denominator is greater than its numerator by 7.

So,

So, the fraction is

Original no. is fraction which is

• The denominator of a rational number is greator thqn its numerator by 7. If the numerator is increased by 17 and the denominator is decreased by 6 the new number becomes 2. Find the original number

✏ let the numerator be x

✏ therefore denominator = x + 7

### Given:–

✏ numerator increased by 17 = x + 17

✏ denominator decreased by 6 = x + 7 – 6

denominator = x + 1

### Explanation:–

• cross multiplication