Question

The sum of two rational number is-2. If one of the number is -14/5, Find the number

​

Answer 1

Given :–

• Sum of two rational numbers = –2.
• If one of the number is $\dfrac{-14}{5}$

To Find :–

• The other number.

Solution :–

Let,

The other number be x.

According to the question,

Sum of two numbers = –2

i.e. One number + Other number = –2

• One number = $\dfrac{-14}{5}$
• Other number = x

⟹ $\dfrac{-14}{5}$ + x = –2

⟹ x = –2 – $\dfrac{-14}{5}$

⟹ x = $\dfrac{-2}{1}$ – $\dfrac{-14}{5}$

Now, take the L.C.M. of the denominators (1 and 5),

L.C.M. of (1 and 5) = 5.

⟹ x = $\dfrac{(-10) - (-14)}{5}$

⟹ x = $\dfrac{-10 + 14}{5}$

⟹ x = $\dfrac{4}{5}$

Hence,

The other number is $\dfrac{4}{5}$

Check :–

• One number = $\dfrac{-14}{5}$
• Other number = $\dfrac{4}{5}$

So,

⟹ One number + Other number = –2

⟹ $\dfrac{-14}{5}$ + $\dfrac{4}{5}$ = –2

Now, take the L.C.M. of the denominators (5 and 5),

L.C.M. of 5 and 5 = 5

⟹ $\dfrac{-14+4}{5}$ = –2

⟹ $\dfrac{\cancel{-10}}{\cancel5}$ = –2

⟹ –2 = –2

Hence, the L.H.S. and the R.H.S. are equal.

So, the answer is correct, the other number is $\dfrac{4}{5}$

Answer 2

Answer:

Let,

The other number be x.

According to the question,

Sum of two numbers = –2

i.e. One number + Other number = –2

One number =  

Other number = x

⟹  + x = –2

⟹ x = –2 –  

⟹ x =  –  

Now, take the L.C.M. of the denominators (1 and 5),

L.C.M. of (1 and 5) = 5.

⟹ x =  

⟹ x =  

⟹ x =  

Hence,

The other number is

Step-by-step explanation: