Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

9:43 PM myopenmath.com .oooo AT&T; The sum of two numbers is 76. The difference

ID: 3136172 • Letter: 9

Question

9:43 PM myopenmath.com .oooo AT&T; The sum of two numbers is 76. The difference of the two numbers is 52. What are the two numbers. Let z be the larger number and y be the smaller number. Write an equation that expresses the information in the sentence "The sum of two numbers is 76." Preview Write an equation that expresses the information in the sentence "The difference of the two numbers is 52" Preview Solve the system you have written above The larger number, z is. The smaller number, y is Get help: Video License Points possible: 4 This is attempt 1 of 2.

Explanation / Answer

The sum of two numbers is 76, hence

x+y= 76

---------------

The diffrence of two numbers is 52, hence

x -y= 52

----------

Solve the system as

x+y= 76

x -y= 52

Add both

x+x= 76 +52

2x = 128

x= 128/2

x = 64

hence

y= 76 -64 = 12

Thus,

larger number x is 64

smaller number y is 12