Question

What two numers have the sum of 217 and a difference of 85

Answer 1

x+y=217. x+y=217
x-y=85. 151+y=217
-----------. y=217-151
2x=302. y=66
x=151

Answer 2

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