Question 1032573
Call the three integers x, y, and z.  Then we write
x + y + z = 270
x + y = z + 98
z = x - 47
Now substitute the second into the first and get
z+98 + z = 270
2z + 98 = 270
2z = 172
z = 86
Then
86 = x - 47 and
x = 133
Plugging x and z in to the first gives us y...
133 + y + 86 = 270
219 + y = 270
y = 51
Your numbers are 133, 51 and 86.