Question

sum of two consecutive even numbers is 22 find the numbers​

Answer 1

Answer:

$\large\underline{\boxed{\mathsf{10 \: and \: 12}}}$

Step-by-step explanation:

Given :

Sum of two consecutive even numbers is 22, We need to find the numbers

Solution

Consecutive Numbers are the number which are just preceding or following the order .

Now since here they are asking about consecutive even number therefore after an even number would be that number + 2

Therefore

Let the

First number be = x

then

Second number = x + 2

Now According To Question

Sum of x and x+1 is 22 that is

$\mathsf{\implies x + (x + 2) = 22}$

$\mathsf{\implies 2x + 2 = 22}$

Taking 2 to RHS we have

$\mathsf{\implies 2x = 22 - 2}$

$\mathsf{\implies 2x = 20}$

Similarly taking 2 to RHS we have

$\mathsf{\implies x = \dfrac{20}{2}}$

That is

$\mathsf{\implies x = 10}$

Therefore

$\mathsf{First\:number\:\implies \: x\: =\: 10}$

$\mathsf{First\:number\:\implies \: x\: +\: 2 \:= \:10\: + \:2 \:= \:10}$

Thus Required Answer Is

$\underline{\boxed{\textsf{10 and 12}}}$

Answer 2

Given :

Sum of two consecutive even numbers is 22, We need to find the numbers

$\bold{\large{\underline{\underline{\sf{StEp\:by\:stEp\:explanation:}}}}}$

Consecutive Numbers are the number which are just preceding or following the order .

Now since here they are asking about consecutive even number therefore after an even number would be that number + 2

Therefore

Let the

First number be = x

then

Second number = x + 2

Now According To Question

Sum of x and x+1 is 22 that is

$\text{\implies x + (x + 2) = 22}$

$\text{\implies 2x + 2 = 22}$

Taking 2 to RHS we have

$\text{\implies 2x = 22 - 2}$

$\text{\implies 2x = 20}$

Similarly taking 2 to RHS we have

$\mathsf{\implies x = \dfrac{20}{2}}$

That is $\text{\implies x = 10}$

Therefore,

$\text{First\:number\:\implies \: x\: =\: 10}$

$\text{First\:number\:\implies \: x\: +\: 2 \:= \:10\: + \:2 \:= \:10}$

Thus Required Answer is , 10 and 12