Question

the sum of three consecutive even number is 78 find the number.​

Answer 1

Answer:

25,26,27

Step-by-step explanation:

a+a+1+a+2=78

so

3a+3=78

or

a+1=78/3=26

and

a=25

Answer 2

Answer:

The Consecutive even numbers are 24,26 and 28.

Step-by-step explanation:

Given :

Sum of the Numbers = 78

They are = Consecutive even numbers

To find :

The Numbers

Solution :

Let the Numbers be -

• x
• (x + 2)
• (x + 4)

★ $\boxed{\sf{x+(x+2)+(x+4)=78}}$

$\sf{\implies} \: x + (x + 2) + (x + 4) = 78 \\ \sf{\implies} \: 3x + 6 = 78 \\\sf{\implies} \: 3x = 78 - 6 \\ \sf{\implies} \: 3x = 72 \\ \sf{\implies} \: x = \frac{72}{3} \\ \sf{\implies} \: x = 24$

One Number = 24

$\rule{300}{1.5}$

★ Value of (x + 2)

$\sf{\implies} \: 24 + 2 \\ \sf{\implies} \: 26$

$\rule{300}{1.5}$

★ Value of (x + 4)

$\sf{\implies} \: 24 + 4 \\ \sf{\implies} \: 28$

$\therefore$ The Consecutive even numbers are 24,26 and 28.