Question

Sum of two no. Is 3. If one of the no. Is -5/6 . Find the other no.

Answer 1

AnsWer :

23/6.

Given :

• x + y = 3.
• x = -5/6.

Solution :

• Let the one number be x.
• and other number be y.

$\rule{90}1$

A/Q,

$\tt \dagger\: \: \: \: \: x + y = 3. \: \: \: \: \: - (1)$

$\tt \dagger\: \: \: \: \: x = \dfrac{ - 5}{6} \: \: \: \: \: - (2)$

Now, Putting the value of x in Equation ( 2 ) We get.

$\tt : \implies x + y = 3.$

$\tt : \implies \dfrac{ - 5}{6} + y = 3.$

$\tt : \implies \dfrac{ - 5 + 6y}{6} = 3.$

$\tt : \implies - 5 + 6y= 18.$

$\tt : \implies 6y= 18 + 5$

$\tt : \implies y= \dfrac{23}{6}$

Therefore, the Other number be 23/6.

$\rule{200}3$

Verification :

Taking Equation ( 1 )

$\tt : \implies x + y = 3.$

$\tt : \implies \frac{ - 5}{6} + \frac{23}{6} = 3.$

$\tt : \implies \dfrac{18}{6} = 3.$

$\tt : \implies \dfrac{ \cancel{18}}{ \cancel6} = 3.$

$\tt : \implies 3 = 3.$

Hence Verify.

Answer 2

GiveN:

• Sum of two numbers = 3
• One of the number = -⅚

To finD:

• Other number

SolutioN:

Let the other number be x

→ x + (-5/6) = 3

→ x = 3 + ⅚

→ x = 23/6

Hence, other number is 23/6

VerificatioN:

Substituting the value of x

→ 23/6 + (-5/6) = 3

Taking LHS

→ 23/6 - 5/6

→ 23 - 5/6

→ 18/6

→ 3

LHS = RHS

Hence verified!