Question

The sum of three consecutive integers is 279. Find the integers

Answer 1

`\huge{\boxed{~~Answer:92,93,94~~}}`

Explanation:

→
`The~sum~of~three~consecutive~integers~is~279.`

`Let~one~number~be~``x`

→
`Therefore,~other~ numbers~ will~ be~ (x+1)~ and ~(x+2),~since,~consecutive~`
`means~ one ~after~ the~ other.`

`x+(x+1)+(x+2)=279`

`Implies ~3x +1+2=279\\Implies ~3x+3=279\\Implies ~3x =279-3\\Implies ~3x =276`

`Implies~x=(276)/(3) =92`

→
`Therefore,~x= 92`

`(x+1)=92+1=93\\(x+2)=93+2=94`

→
`So,~the~integers~are:92,93~and~94!`

Answer 2

If all three were the same, then each one would be (279/3) or 93. The integers would be 93, 93, and 93.

Great ! Just take 1 away from the first one, and stick it onto the last one. Now you have 92, 93, 94, and the sum is still the same 279.