Question

What are two consecutive integers, such that five times the smaller minus four times the larger is 24?

Answer 1

do you know what "consecutive" means?

Answer 2

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

Answer 3

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?

Answer 4

5x

Answer 5

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

Answer 6

4(x+1)

Answer 7

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"?

Answer 8

5x - 4(x+1) = 24

Answer 9

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

Answer 10

your first attempt is correct

Answer 11

so now you just need to solve for x in:

5x - 4(x+1) = 24

Answer 12

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

Answer 13

i got x to equal 20?

Answer 14

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

Answer 15

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

Answer 16

perfect! well done! :)

Answer 17

:)