Chapter SH, Problem 2.6EP

To determine

To find three consecutive integer with a sum of 78

Answer to Problem 2.6EP

24, 26 and 28

Explanation of Solution

Given information:

The sum of three consecutive integer is 78

Formula used: addition

Calculation: let the three consecutive integers be

  $x-2,xandx+2$

Therefore, according to the question

  $x-2+x+x+2=78$

Solving it further

  $3x=78$

Dividing both sides by three

  $x=\frac{78}{3}$

The value of x is

  $x=26$

Now, substituting the value of x in the three integers

  $x=24,26and28$