Question

If two consecutive natural number's sum is 55 then find the numbers with help of linear equation.

its urgent​

Answer 1

Step-by-step explanation:

Let the first no.=x

Second number=x+1

sum=55

A.T.Q.

x+(×+1)=55

x+x+1=55

2x+1=55

2x=55-1

2x=54

x=54÷2

x=27

no. are 27,28

Answer 2

Given:

Two consecutive natural numbers

• 1st Number = x
• 2nd Number = x + 1
• Sum = 55

What To Find:

The two consecutive natural numbers.

Equation Formed:

x + (x + 1) = 55

Solution:

x + (x + 1) = 55

Remove the brackets,

⇒ x + x + 1 = 55

Add x and x in LHS,

⇒ 2x + 1 = 55

Take 1 to RHS,

⇒ 2x = 55 - 1

Subtract 1 from 55

⇒ 2x = 54

Take 2 to RHS,

⇒ x = $\dfrac{54}{2}$

Divide 54 by 2,

⇒ x = 27

Substitute the value,

• 1st number = x = 27
• 2nd number = x + 1 = 27 + 1 = 28

∴ Thus, the two consecutive natural numbers are 27 and 28 respectively.

To Verify:

x + (x + 1) = 55

Substitute the value,

⇒ 27 + (27 + 1) = 55

Solve the brackets,

⇒ 27 + 28 = 55

Add 27 and 28 in LHS,

⇒ 55 = 55

∴ LHS = RHS

∴ Hence, verified.