Question

the sum of two rational num is -14/3 if one is the rational num is -4 then find the other​

Answer 1

Step-by-step explanation:

${\Large{\mathbb{\underline{\red{QUESTION :-}}}}}$

The sum of two rational num is -14/3 if one is the rational num is -4 then find the other.

${\Large{\mathbb{\underline{\red{SOLUTION :-}}}}}$

Given :

• The sum of two rational numbers is = - 14/3
• One of the number is = - 4

Let's take the unknown number be x

To find :

• The second rational number

According to question,

${\bold{\sf{: \: ⟹ \: \: \: \: \: x \: + \: (-4 ) \: = \: \frac{-14}{3}}}}$

Let's find the value of x

${\bold{\sf{: \: ⟹ \: \: \: \: \: x \: = \: \frac{-14}{3} \: + \: 4}}}$

${\bold{\sf{: \: ⟹ \: \: \: \: \: x \: = \: \frac{-14 \: + \: 12}{3}}}}$

$: \: ⟹ \: \: \: \: \: {\bold{\mathfrak{\boxed{\pink{ x \: = \frac{-2}{3}}}}}}$

${\bold{\mathbf{\underline{Let's \: verify \: the \: Solution}}}}$

${\bold{\sf{: \: ⟹ \: \: \: \: \: \frac{-2}{3} \: + \: (-4)}}}$

${\bold{\sf{: \: ⟹ \: \: \: \: \: \frac{-2 \: - \: 12}{3}}}}$

${\bold{\sf{: \: ⟹ \: \: \: \: \: \frac{-14}{3}}}}$

Answer 2

Answer:

Question :

The sum of two rational num is (-14/3) if one is the rational num is (-4) then find the other.

Solution :

Given :

• ➡ The sum of two rational numbers is = (- 14/3)
• ➡ One of the number is = (-4)
• ➡ Let's take the unknown number be x

To find :

The second rational number

According to question :

➡ x + (-4) = (-14/3)

Let's find the value x

➡ x - 4 = (-14/3)

➡ x = (-14/3) + 4

LCM = 3

➡ x = (-14/3) + 4(3)/1(3)

➡ x = ( -14 + 12 ) / 3

➡ x = (-2/3)

Other number = (-2/3)

Verification :

To verify : x + (-4) = (-14/3)

➡ (-2/3) - 4

➡ (-2/3) - 4(3)/1(3)

➡ ( -2 - 12 ) / 3

➡ (-14/3)