n and m are the 2 numbers
if there sum is 217
n + m = 217 (Equation 1)
and there difference is 85
n - m = 85
n = 85 + m (Equation 2)
by substituting Eq. 2 in Eq. 1
n + m = 217
(85 + m) + m = 217
85 + 2m = 217
2m = 217 - 85
2m = 132
m = 66 (ANSWER)****
using Eq. 2 to get the value of n
n = 85 + m
n = 85 + 66
n = 151 (ANSWER)****
Therefore the two numbers are 66 and 151