Answer:
The sum of two numbers is 67. Their difference is 19.
a. Write a system of linear equations representing the problem.
The sum of two numbers is 67
x+y= 67
Their difference is 19
x-y= 19
Valuea of x & y:
(x+y=67)+(x-y=19) = 2x= 86
2x= 86
x= 86/2 = 43
x+y= 67
(43)+y= 67
y= 24
x-y= 19
43-24= 19
19=19
x= 43
y= 24
b. What is the product of the numbers?
(43)(24)= 1032
