Question

If the sum of four consecutive numbers is 854, what is the third one?

Answer 1

Answer:

214

Step-by-step explanation:

The set up would be x + (x + 1) + (x + 2) + (x + 3) = 854, naturally as the numbers are consecutive. Solving for x:

x + (x + 1) + (x + 2) + (x + 3) = 854,

x + x + 1 + x + 2 + x + 3 = 854,

4x + 1 + 2 + 3 = 854,

4x + 6 = 854,

4x = 854 - 6 = 848,

x = 848/4 = 212

The third number then should be 212 + 2 = 214

Answer 2

Third number is 212.

Let the four consecutive integers be x,x+1,x+2,x+3,x+4.

As the sum of the four consecutive numbers is 854.

Then , $x + (x + 1) + (x + 2) + (x + 3) = 854,$ .

Solving for x:

$x + (x + 1) + (x + 2) + (x + 3) = 854\\x + x+ 1 + x + 2 + x+ 3 = 854\\4x + 1 + 2 + 3 = 854\\4x + 6 = 854\\4x = 854 - 6 \\= 848\\x = \frac{848}{4} \\= 212$

Therefore, the third number is

$212 + 2 = 214$

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