Question

The numerator of a rational number is 5 less thanthe denominator . If the numerator and denominator each is increased by 2 we get one upon 2 find the rational number

Answer 1

Answer:

Step-by-step explanation:

Let the numerator of the rational no. be x.

So, the denominator is (x+5).

The rational no. is x/(x+5).

After adding 2 to both,

The new rational no. is (x+2)/(x+7).

(x+2)/(x+7)=1/2.

Let's cross-multiply it,

2(x+2)=1(x+7).

2x+4=x+7.

2x-x=7-4.

x=3.

So,numerator is 3.

Denominator = 3+5 =8.

Hence the rational number is 3/8.

Let's verify our answer;

Let's add 2 to both numerator and denominator;

(3+2)/(8+2).

=5/10=1/2.

It satisfies the condition mentioned in the question,so our answer is all right. The required rational number is 3/8.

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Answer 2

hlo

hope the attachment will help u