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The sum of two numbers is 67. Their difference is 19.


a. Write a system of linear equations representing the problem.


b. What is the product of the numbers?

pls help me


Sagot :

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