Three positive integers are (x-1),x and (x+1).if their sum is 105,find the numbers

Answer 1

Let x-1 = a
x = b
x+1 = c

Given that a + b + c = 105

Substitute the values of a,b, and c back in terms of x:

a + b + c = x-1 + x + x+1 = 3x = 105

Solve for x:
3x = 105
x = 105/3
x = 35

Now, substitute x back into the expressions for a, b, and c:

a = x-1 = 35 - 1 = 34
b = x = 35
c = x+1 = 35 + 1 = 36

Therefore, the numbers are 34, 35, and 36.