Question

The sum of the digits of a two-digit number is 9.
The fraction formed by taking 9 less than the
number as numerator and 9 more than the number
as denominator is 3/4. Find the number.

Answer 1

Answer:

$\frac{5}{9 } \: is \: the \: final \: answer$

I hope it helps you

I have solved it in image

Answer 2

Correct Question:-

• The fraction formed by taking 9 less than the number as numerator and 9 more than the number as denominator is 3/4. Find the number.

To Find:-

• Find the number.

Given:-

• The fraction formed by taking 9 less than the number as numerator and 9 more than the number as denominator is 3/4.

Solution:-

Let the first digit be " x "

Then the second digit be " y "

$\tt\implies \: \dfrac { x - 9 } { x + 9 } = \dfrac { 3 } { 4 }$

$\tt\implies \: 4( x - 9 ) = 3( x + 9 )$

$\tt\implies \: 4x - 36 = 3x + 27$

$\tt\implies \: 4x - 3x = 36 + 27$

$\tt\implies \: x = 63$

Hence,

• $\tt\implies \: Numerator = 63$
• $\tt\implies \: Denominator \: is \: x + 9 = 63 + 9 = 72$