Answer:
- 1 , - 7 , 5
Explanation:
let the 3 numbers be a₁ , a₂ and a₃ , then
a₁ + a₂ + a₃ = - 3 ( substitute a₁ + a₂ = - 8 )
- 8 + a₃ = - 3 ( add 8 to both sides )
a₃ = 5
Now
a₁ + a₂ = - 8 ( subtract a₁ from both sides )
a₂ = - a₁ - 8 → (1)
given a₂ - a₃ = a₁ + 1 , that is
a₂ - 5 = a₁ + 1 ( add 5 to both sides )
a₂ = a₁ + 6 → (2)
substitute a₂ = a₁ + 6 into (1)
a₁ + 6 = - a₁ - 8 ( add a₁ to both sides )
2a₁ + 6 = - 8 ( subtract 6 from both sides )
2a₁ = - 14 ( divide both sides by 2 )
a₁ = - 7
substitute a₁ = - 7 into (1)
a₂ = - (- 7) - 8 = 7 - 8 = - 1