Answer:
Explanation:
Let x represent Mr. Alfred's favorite number.
Let y represent Mr. Cox's favorite number.
Mr. Alfred's favorite number plus Mr. Cox's favorite number is 28. This means that
x + y = 28
The difference between Mr. Alfred's number and twice Mr. Cox's number is 10. This means that
x - 2y = 10 - - - - - - -1
Substituting x = 28 - y into equation 1, it becomes
28- y - 2y = 10
- y - 2y = 10 - 28
-3y = -18
y = -18/-3
y = 6
x = 28 - y
x = 28 - 6 = 22
Mr. Alfred's favorite number is 22
Mr. Cox's favorite number is 6
The product of their favorite numbers is 22 × 6 = 132