Question

the denominator of a rational number is greater than its numerator by 3.if the numerator is increased by 7 and the denominator is decreased by 1,the new number becomes 3/2.find the original number

Answer 1

Hello dear!!

Here's your answer

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Let numerator be n

denominator is n+3

Now, numerator is increased by 7 = n+7


denominator decreased by 1 = n+3 -1 = n+2

given that (n+7)/ (n+2) = 3/2

2n + 14 = 3n + 6

n= 8

n+3 = 11

So, original number is 8/11

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Hope it helps you

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Answer 2

HELLO..........FRIEND!!

THE ANSWER IS HERE,

Let the numerator be x.

Then the denominator will be x+3.

From the question,

$= > \: \frac{n + 7}{n + 3 - 1} = \frac{3}{2}$

$= > \: \frac{n + 7}{n + 2} = \frac{3}{2}$

$= > \: 2(n + 7) = 3(n + 2)$

$= > \: 2n + 14 = 3n + 6$

$= > \: n = 14 - 6$

$= > \: n = 8$

So, The original number will be,

$= > \: \frac{8}{8 + 3}$

$= > \: \frac{8}{11}$


:-)Hope it helps u.