Question

The denominator of a rational no. Is greater than its numerator by 8
Tf the numerator is increased by 17 and the denominator is decreased
by 1, the rumber obtained is3/2 find the rational numberليا​

Answer 1

Answer:

Let the numerator of the rational number be x.

So as per the given condition, the denominator will be x + 8.

The rational number will be x/x + 8.

According to the given cndition,

x + 17/x + 8 – 1 = 3/2

=x + 17/x + 7 = 3/2

=2(x + 17) = 3(x + 7)

=2x + 34 = 3x + 21

=34 − 21 = 3x − 2x

=x=13

Numerator of the rational number = x = 13

Denominator of the rational number = x + 8 = 13 + 8 = 21

Rational number = 13/2

Answer 2

Answer:

let numerator be x

∴the denominator will be x+8

⇒x+17/x+8-1=3/2

⇒x+17/x+7=3/2

⇒2(x+17)=3(x+7)

⇒2x+34=3x+21

⇒34-21=3x-2x

⇒13=x

∴x/x+8

=13/21

Step-by-step explanation:

Additional explanation

Let a/b is the fraction,

b-8=a

b=a+8

a+17/b-1=3/2

a+17/a+8-1=3/2

a+17/a+7=3/2

2a+34=3a+21

34-21=3a-2a

13=a

a+8=b

13+8=b

21=b

the fraction is 13/21

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