Question

numerator of a rational number is less then its denominator . if the numerator is incrrased by 2 and denominator is decresed by 1 , the number obtained is 1/2 . find the number​

Answer 1

Step-by-step explanation:

To find the number where numerator is 8 less than denominator and if numerator is increased by 2 & denominator is decreased by 1, the number obtained is, use the following concepts:

• An equation of the type, is called a linear equation in the variable x.

Solving word problems of linear equations

Let the denominator

= X

Numerator = x -

- 8

Now, The fraction

-

/* According to the problem given

if the numerator is increased by 2 and

denominator is decreased by 1,,the no.

Obtained is 1/2

\frac{x-8+2}{x-1}=\frac{1}{2}

x-6

x-1

2(x6) = x - 1

2x

12 = x - 1

2x

-

x= -1 + 12

x = 11

The denominator = x= 11

Numerator =x-8118-3

Therefore.,