Question

sum of four consecutive even number is 156 find the numbers
please answering me fast​

Answer 1

$\mathfrak{\large{\underline{\underline{Answer:}}}}$

The Numbers are -

• 36
• 38
• 40
• 42

$\mathfrak{\large{\underline{\underline{Step-by-step-explanation:}}}}$

Given:

The Numbers are = Consecutive even numbers

Sum is = 156

To find :

The Numbers

Solution :

Consider the numbers as -

• x
• (x + 2)
• (x + 4)
• (x + 6)

$\bigstar{\green{\boxed{\green{\boxed{\red{\sf{x+(x+2)+(x+4)+(x+6)=156}}}}}}}$

$\sf{\longrightarrow x+(x+2)+(x+4)+(x+6)=156} \\ \\ \sf{\longrightarrow4x } + 12 = 156 \\ \\ \sf{\longrightarrow 4x = 156 - 12} \\ \\ \sf{\longrightarrow4x = 144} \\ \\ \sf{\longrightarrow \: x = \frac{144}{4}} \\ \\ \sf{\longrightarrow \: x = 36}$

One Number = 36

$\rule{300}{1.5}$

★ Value of (x + 2)

$\sf{ =36 + 2} \\ \sf{ =38}$

Second Number = 38

$\rule{300}{1.5}$

★ Value of (x + 4)

$\sf{ =36 + 4}\\ \sf{ =40}$

Third Number = 40

$\rule{300}{1.5}$

★ Value of (x + 6)

$\sf{ =36 + 6} \\ \sf{ =42}$

Fourth Number = 42

$\therefore$ The Numbers are -

• 36
• 38
• 40
• 42

Answer 2

$\sf{Hello,Brainly\:User}$

The four consecutive number:-

1. (y)
2. (y + 2)
3. (y + 4)
4. (y + 6)

According to question

Sum of four consecutive even number is 156 we have to find the numbers.

Hence:-

Using Identity

$\tiny\bf⟹ y + (y + 2) + (y + 4) + (y + 6) = 156$

So,

$\sf⟹ y + (y + 2) + (y + 4) + (y + 6) = 156 \\ \sf⟹ (4y + 12 = 156) \\ \sf⟹ (4y = 156 - 12) \\ \sf ⟹( 4y = 144) \\ \sf⟹( y = \frac{144}{4})$

$\bf⟹ (y = 36)$

Hence,

Adding values for (y + 2 )

$</strong><strong>\</strong><strong>s</strong><strong>f</strong><strong>⟹</strong><strong> 36 + 2 = 38$

Adding values for (y + 4)

$</strong><strong>\</strong><strong>s</strong><strong>f</strong><strong>⟹</strong><strong> 36 + 4 = 40$

Adding values for (y + 6)

$</strong><strong>\</strong><strong>s</strong><strong>f</strong><strong>⟹</strong><strong>36 + 6 = 42$

Therefore, 36,38,40,42 are the numbers