Question

The denominator of a number 9 more than numerator. If 5 is added to the denominator, it becomes thrice the numerator. which of the following is the original number.​

Answer 1

Answer:

original number = 7/16

Answer 2

Answer:

The original number is 7/16.

Step-by-step explanation:

Given :-

• The denominator of a number is 9 more than numerator.
• If 5 is added to the denominator, it becomes thrice the numerator.

To find :-

• The original number.

Solution :-

Consider,

• Numerator = x
• Denominator = y

According to the 1st condition,

• The denominator of a number is 9 more than numerator.

$\to\sf{y=x+9........(i)}$

According to the 2nd condition,

• If 5 is added to the denominator, it becomes thrice the numerator.

$\to\sf{y+5=3x}$

• Put y = x+9 from eq (i).

$\to\sf{x+9+5=3x}$

$\to\sf{x-3x=-9-5}$

$\to\sf{-2x=-14}$

$\to\sf{2x=14}$

$\to\sf{x=14/2}$

$\to\sf{x=7}$

Then,

Numerator = 7

Now put x = 7 in eq (I) for getting the value of y.

y = x +9

→ y = 7+9

→ y = 16

Therefore,

Original number = 7/16.