## Shealah 3 years ago What are two consecutive integers, such that five times the smaller minus four times the larger is 24?

1. asnaseer

do you know what "consecutive" means?

2. Shealah

i know that it is x and x+1 but i just need to know how to set it up

3. asnaseer

good, so first number can be represented as x and next one as x+1 as you indicated. now the questions says that 5 times the smaller number minus 4 times the larger is equal to 24 so, how would you represent 5 times the smaller number?

4. Shealah

5x

5. asnaseer

good, now how would you represent 4 times the larger number?

6. Shealah

4(x+1)

7. asnaseer

great! now how would you use these two expressions to represent "5 times the smaller number minus 4 times the larger is equal to 24"?

8. Shealah

5x - 4(x+1) = 24

9. Shealah

would you do -4( x+1) or 4(x+1) then subtract?

10. asnaseer

your first attempt is correct

11. asnaseer

so now you just need to solve for x in: 5x - 4(x+1) = 24

12. asnaseer

if you type up your steps then I can check if you got them right

13. Shealah

i got x to equal 20?

14. asnaseer

not quite, please show your steps so I can spot where you may have made a mistake

15. Shealah

I think i got it this time... 5x - 4(x+1) = 24 5x-4x-4 = 24 x-4 = 24 x = 28

16. asnaseer

perfect! well done! :)

17. Shealah

:)