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anonymous

  • 5 years ago

The sum of two numbers is 72, and twice their difference is 24. What is the smaller of the two numbers?

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  1. anonymous
    • 5 years ago
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    suppose the two numbers are x and y. what can you tell about x and y from the description?

  2. anonymous
    • 5 years ago
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    x + y= 72

  3. anonymous
    • 5 years ago
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    okay and?

  4. anonymous
    • 5 years ago
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    2(x-y)=24

  5. anonymous
    • 5 years ago
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    This is where I get stuck

  6. anonymous
    • 5 years ago
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    okay good. so x+y = 72 and 2(x-y)=24 or x-y = 12 so you have x+y = 72 x-y =12 solve for x and y

  7. anonymous
    • 5 years ago
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    I'm not sure where to go from there. Do I combine the two equations?

  8. anonymous
    • 5 years ago
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    yeah

  9. anonymous
    • 5 years ago
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    well lets see, what could we get for x, that will make 72 if we add y? Plug n chug works, lets try 40 for X.

  10. anonymous
    • 5 years ago
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    What can we add to 40 to make 72? 32.

  11. anonymous
    • 5 years ago
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    42+30=72

  12. anonymous
    • 5 years ago
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    42-30=12, 12x2=24

  13. anonymous
    • 5 years ago
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    made a mistake, i took 40 instead of 40, but if we were to pick 40, we would still see that it wont meet the requirements, so that is wrong anyway.

  14. anonymous
    • 5 years ago
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    blah, instead of 42**

  15. anonymous
    • 5 years ago
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    ok. I understand it a little bit more

  16. anonymous
    • 5 years ago
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    brittany, you had x+y = 72 x - y = 12 add the two equations 2x = 84. so x = 42. if x = 42, then 42+y = 72. so y = 30. so your answer is 30

  17. anonymous
    • 5 years ago
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    I concur.

  18. anonymous
    • 5 years ago
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    Alright, thanks guys

  19. anonymous
    • 5 years ago
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    :)

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