Question

in a golf match between pedro and Aziz, their scores are -6 and +24 respectively. What is the difference between pedro and Aziz scores? An integer is two times another integer. If their difference is +9, what are the two integers?

Answer 1

Problem 1

we have

Pedro's score -----> -6

Aziz's score -----> +24

Find the difference

24-(-6)

24+6

30

answer part 1 is 30

Part 2

Let

x -----> one integer

y -----> another integer

we have that

y=2x -----> equation A

y-x=9 -----> equation B

substitute equation A in equation B

2x-x=9

x=9

find the value of y

substitute the value of x in equation A

y=2(9)

y=18

therefore

the integers are 9 and 18

Part 3

we have

x+y=11 ------> equation A

x-y=5 -----> equation B

Solve the system of equations by elimination

Adds equation A and equation B

so

x+y=11

x-y=5

________

2x=11+5

2x=16

x=8

Find the value of y

substitute the value of x in equation A

8+y=11

y=11-8

y=3

the two integers are 8 and 3