Question

the sum of three consecutive positive integers is 315. find the numbers.( hint : x,x + 1, x + 2)

Answer 1

Answer:

104, 105, 106

Step-by-step explanation:

An easier method would be as follows:

Let the three consecutive +ve integers be x-1, x and x+1 .......(i)

Given: sum of these three integers = 315

=> (x - 1) + x + (x + 1) = 315

=> 3x = 315

=> x = 105

From (i), the required integers are: 104, 105 and 106

Alternative method:

Let the three consecutive +ve integers be x, x+1 and x+2 ....(ii)

Given: sum of these three integers = 315

=> x + (x + 1) + (x + 2) = 315

=> 3x + 3 = 315

=> 3x = 315 - 3

=> 3x = 312

=> x = 104

From (ii), the required integers are: 104, 105 and 106