Shealah
What are two consecutive integers, such that five times the smaller minus four times the larger is 24?
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asnaseer
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do you know what "consecutive" means?
Shealah
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i know that it is x and x+1 but i just need to know how to set it up
asnaseer
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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?
Shealah
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5x
asnaseer
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good, now how would you represent 4 times the larger number?
Shealah
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4(x+1)
asnaseer
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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"?
Shealah
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5x - 4(x+1) = 24
Shealah
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would you do -4( x+1) or 4(x+1) then subtract?
asnaseer
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your first attempt is correct
asnaseer
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so now you just need to solve for x in:
5x - 4(x+1) = 24
asnaseer
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if you type up your steps then I can check if you got them right
Shealah
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i got x to equal 20?
asnaseer
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not quite, please show your steps so I can spot where you may have made a mistake
Shealah
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I think i got it this time...
5x - 4(x+1) = 24
5x-4x-4 = 24
x-4 = 24
x = 28
asnaseer
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perfect! well done! :)
Shealah
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:)