Math, asked by atharv051, 5 months ago

sum of three consecutive number is 51 . The middle one is​

Answers

Answered by abhi569
2

Answer:

17

Step-by-step explanation:

Let the middle number be 'a', then, remaining numbers should be a - 1 and a + 1.

Since their sum is 51.

=> (a - 1) + a + (a + 1) = 51

=> a - 1 + a + a + 1 = 51

=> a + a + a = 51

=> 3a = 51

=> a = 51/3

=> a = 17

Middle number is 17

Answered by Mister360
6

Step-by-step explanation:

Let

the middle number =a

Then remaining numbers=(a-1) and (a+1)

According to the question

{:}\longrightarrow The sum of these three numbers=51

{:}\longrightarrow a+(a-1)+(a+1)=51

{:}\longrightarrow a+a-1+a+1=51

{:}\longrightarrow 3a+0=51

{:}\longrightarrow 3a=51

{:}\longrightarrow a={\frac {51 }{3}}

{:}\longrightarrow {\underline{\boxed{\bf {a=17}}}}

  • Hence

the middle number =a=17

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