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0 votes
2.7k views
in Mathematics by (80.8k points)

The denominator of a rational number is greater than its numerator by 3. If 3 is subtracted from the numerator and 2 is added to the denominator, the new number becomes 1/5. Then the original number was .........

(A) 7/11

(B) 3/5

(C) 5/8

(D) 4/7

2 Answers

+1 vote
by (10.9k points)
selected by
 
Best answer
Option (c) is correct

Explanation

Let the numerator be n

So the rational number is n/(n+3)

By the problem

(n-3)/(n+5)=1/5

=>5n-15=n+5

=>n=5

And the  rational number is 5/8
0 votes
by (52.5k points)

The correct option is: (C) 5/8

Explanation:

Let the number be x/y

According to the question,

y = x + 3 => x = y - 3          ......(1)

=> 5x = y + 17           ......(2)

Solving (1) and (2), we get x = 5 and y = 8

. .. Required number = x/y = 5/8

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