The sum of three numbers is 6. the third number is the sum of the first and second numbers. the first number is one more that the third number. find the numbers

x + y + z = 6 ... (1)

z = x + y ... (2)

x = z + 1 ... (3)

from equation (2) : -

x + y = - z

Subtracting this from equation (1) : -

z = - z + 6

2z = 6 so z = 3

From equation (3) : -

x = 3 + 1 = 4

And from equation (1) : -

4 + y + 3 = 6

y = 6 - 7 = - 1

Answer x = 4, y = - 1 and z = 3.