Question

The sum of three consecutive natural numbers is 78. Find the number.​

Answer 1

AnswEr :-

• The numbers are 25, 26 and 27.

Given :-

• The sum of three consecutive natural numbers is 78.

To Find :-

• Those numbers.

SoluTion :-

Let,

• First consecutive number be x
• Second consecutive number be (x + 1)
• Third consecutive number be (x + 2)

Sum of these three consecutive numbers is 78.

According to question :-

x + (x + 1) + (x + 2) = 78

→ x + x + 1 + x + 2 = 78

→ x + x + x + 1 + 2 = 78

→ 3x + 3 = 78

→ 3x = 78 - 3

→ 3x = 75

→ x = 75/3

→ x = 25

• 1st consecutive number => x => 25
• 2nd consecutive number => x+1 => 25+1 => 26
• 3rd consecutive number => x+2 => 25+2 => 27

Hence, the numbers are 25, 26 and 27.

_____________________

Answer 2

Given :

• The sum of three consecutive natural numbers is 78

To Find :

• The numbers

Solution :

• Let the numbers be x , x + 1 and x + 2 .

☯ $\small\bold{\underline{\sf{\red{According\:To\:The\:Question}}}}$

= $\sf x\:+\:x\:+1\:x\:+\:2\:=\:78$

= $\sf 3x\:+\:3\:=\:78$

= $\sf 3x\:=\:78-3$

= $\sf 3x\:=\:75$

= $\sf x\:=\: \dfrac{75}{3}$

= $\large{\boxed{\sf{\red{x\:=\:25}}}}$

• Consecutive Numbers :

→ First number = 25

→ Second number = 25 + 1 = 26

→ Third number = 25 + 2 = 27

• Numbers are 25 , 26 and 27 .

_____________________