Question

The sum of two consecutive integers is 21 .Find the number

Answer 1

Hey mate here is your answer
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Answer 2

The numbers are 10 , 11

Given :

The sum of two consecutive integers is 21

To find :

Find the numbers

Solution :

Step 1 of 2 :

Form the equation

Let two consecutive integers are x , x + 1

By the given condition

$\displaystyle \sf{ x + (x + 1) = 21}$

Step 2 of 2 :

Find the numbers

$\displaystyle \sf{ x + (x + 1) = 21}$

$\displaystyle \sf{ \implies 2x + 1 = 21}$

$\displaystyle \sf{ \implies 2x = 21 - 1}$

$\displaystyle \sf{ \implies 2x = 20}$

$\displaystyle \sf{ \implies x = \frac{20}{2} }$

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

First number = x = 10

Second number = x + 1 = 10 + 1 = 11

Hence two integers are 10 and 11

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