Question

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

Answer 1

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.