Answer:
The numbers are 73, 173 and 292.
Step-by-step explanation:
If the numbers are x, y and z we have:
y = 4x
z = x + 100
x + y + z = 538
Substituting for y in the last equation:
x + 4x + z = 538
5x + z = 538.............(1)
From the second equation:
z - x = 100................(2)
Equation (1) - (2) gives:
6x = 438
x = 73
Therefore y = 4x) = 4(73) = 292
and z = x + 100 = 73 + 100 = 173.
