Question

If the sum of three consecutive odd integers is 183, what are the integers?

Answer 1

Remember that consecutive odd numbers differ in `2`.

Let the first number be `x`

Then,second number is `x+2`,The third is `x+4`.

So,

`rarrx+(x+2)+(x+4)=183`

`rarrx+x+2+x+4=183`

`rarr3x+6=183`

`rarr3x=183-6`

`rarr3x=177`

`rarrx=177/3=59`

The second number is `x+2=59+2=61`

Third number is `x+4=59+4=63`

So,the numbers are `59,61 and 63`