Question

The sum of 2 consecutive whole numbers is 206. What are the 2 numbers

Answer 1

There are no two consecutive whole numbers that sum to 206 (See proof below)

Explanation:

let the first number be x

since the numbers are whole and consecutive, the second number must be (x + 1)

we are given that the number sum to 206

hence,

x + (x+1) = 206

x + x + 1 = 206

2x + 1 = 206 (subtract 1 from both sides)

2x = 206 - 1

2x = 205 (divide both sides by 2)

x = 205/2 = 102.5 (NOT A WHOLE NUMBER)

if x = 102.5, then the second number must be

x + 1 = 102.5 + 1 + 103.5 (ALSO NOT A WHOLE NUMBER)

Answer 2

102.5, 103.5

Explanation:

a+a+1=206

2a+1=206

2a=205

a=102.5

103.5

I think there is a bug here. They can't be whole numbers.