Question

The sum of consecutive even number is 86 .Then find the number​

Answer 1

Working out:

In the above Question, we have to find the two consecutive even numbers whose sum is 86. So, firstly we have to consider any of them as an variable, and accordingly the other one. Then, we can frame equayion to get the result.

Let:

• One of the even number be x
• Then, the other even number will be x + 2

It is because consecutive even number differs by 2 because they are multiple of 2. Like 4,6,8,10......

Then,

• 1st even number + 2nd even number = 86

Framing equation,

⇛ x + (x + 2) = 86

⇛ x + x + 2 = 86

⇛ 2x + 2 = 86

⇛ 2x = 84

⇛ x = 84/2 = 42

Then other number = x + 2 = 44

So, the required even numbers are:

$\huge{ \boxed{ \sf{ \purple{42 \: and \: 44}}}}$

And we are done !!

Answer 2

Answer:

✡ Given ✡

$\implies$ The sum of consecutive even number is 86.

✡ To Find ✡

$\implies$ The number.

✡ Solution ✡

✏ Let the two consecutive even number be x and (x+2)

▶ According to the question,

$\implies$ x + (x+2) = 86

$\implies$ x + x + 2 = 86

$\implies$ 2x + 2 = 86

$\implies$ 2x = 86 - 2

$\implies$ 2x = 84

$\implies$ x = $\dfrac{84}{2}$

$\implies$ x = 42

➡ The other number is (x+2) = 42 + 2 = 44

Therefore, the required consecutive even number will be 42 and 44.

Step-by-step explanation:

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