Question

if the sum of two consecutive number is 11, find the numbers.​

Answer 1

The numbers are 5 and 6

Given :

The sum of two consecutive number is 11

To find :

The numbers

Solution :

Step 1 of 2 :

Form the equation

Let two consecutive numbers are x and x + 1

By the given condition

$\displaystyle \sf{ x + (x + 1) = 11}$

Step 2 of 2 :

Find the numbers

$\displaystyle \sf{ x + (x + 1) = 11}$

$\displaystyle \sf{ \implies 2x + 1= 11}$

$\displaystyle \sf{ \implies 2x= 11 - 1}$

$\displaystyle \sf{ \implies 2x= 10}$

$\displaystyle \sf{ \implies x = \frac{10}{2} }$

$\displaystyle \sf{ \implies x = 5 }$

First number = x = 5

Second number = x + 1 = 5 + 1 = 6

Hence the two numbers are 5 and 6

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Answer 2

Concept Introduction:-

Continually following numbers from smaller to larger are known as consecutive numbers.

Given Information:-

We have been given that the sum of two consecutive number is $11$.

To Find:-

We have to find that the numbers.

Solution:-

According to the problem

Let the two consecutive integers are $X$ and $X + 1$.

so,

$X + X + 1 = 11\\2X = 11 - 1\\2X = 10\\X = \frac{10}{2}\\X = 5$

The first integer is$X=5$ and second integer is $X+1=5+1=6$

Final Answer:-

The numbers are $5$ and $6$.