Answer:
x + y = 186
x -y = 32
therefore x = 109
y = 77
Step-by-step explanation:
let the two numbers be x and y
sum of the two numbers equals 186 implies that
x + y = 186................ eqn 1
the difference between the same numbers is 32 implies that
x - y = 32...................... eqn 2
from equation 2
x- y = 32
x = 32 + y.............. eqn 3
substitute for x = 32 + y in equation 1
x+y = 186
32 + y + y = 186
32 + 2y = 186
2y = 186-32
2y = 154
divide both sides by 2
2y\2 = 154
y = 77
put y = 77 in equation 3
x = 32 + y............ eqn 3
x = 32 + 77
x = 109
check if your answer is correct
from x + y = 186
109 + 77= 186
186 = 186........ proved
