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Shealah

  • 3 years ago

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

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  1. asnaseer
    • 3 years ago
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    do you know what "consecutive" means?

  2. Shealah
    • 3 years ago
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    i know that it is x and x+1 but i just need to know how to set it up

  3. asnaseer
    • 3 years ago
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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?

  4. Shealah
    • 3 years ago
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    5x

  5. asnaseer
    • 3 years ago
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    good, now how would you represent 4 times the larger number?

  6. Shealah
    • 3 years ago
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    4(x+1)

  7. asnaseer
    • 3 years ago
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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"?

  8. Shealah
    • 3 years ago
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    5x - 4(x+1) = 24

  9. Shealah
    • 3 years ago
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    would you do -4( x+1) or 4(x+1) then subtract?

  10. asnaseer
    • 3 years ago
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    your first attempt is correct

  11. asnaseer
    • 3 years ago
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    so now you just need to solve for x in: 5x - 4(x+1) = 24

  12. asnaseer
    • 3 years ago
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    if you type up your steps then I can check if you got them right

  13. Shealah
    • 3 years ago
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    i got x to equal 20?

  14. asnaseer
    • 3 years ago
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    not quite, please show your steps so I can spot where you may have made a mistake

  15. Shealah
    • 3 years ago
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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

  16. asnaseer
    • 3 years ago
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    perfect! well done! :)

  17. Shealah
    • 3 years ago
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    :)

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