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anonymous

  • 5 years ago

The sum of two numbers is 110. Their difference is 28. What is the smallest of the two numbers?

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  1. anonymous
    • 5 years ago
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    A. 56 B. 41 C. 69 D. 55

  2. anonymous
    • 5 years ago
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    x + y = 110 x - y = 28. what do you think? assume y<x

  3. anonymous
    • 5 years ago
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    btw. x = 69,y=41. but don't look at the answer. find out why :) first.!

  4. anonymous
    • 5 years ago
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    Well, it says which is the smallest of the two numbers, so I'd have to go with 41 because that is smaller.

  5. anonymous
    • 5 years ago
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    Is tha

  6. anonymous
    • 5 years ago
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    Is that right or am I wrong about that one?

  7. anonymous
    • 5 years ago
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    41+69=110 looks good to me

  8. mathmate
    • 5 years ago
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    Here's the trick: bigger number = (sum+difference)/2 smaller number = (sum-difference)/2

  9. anonymous
    • 5 years ago
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    I am so confused on which one it is. :/

  10. anonymous
    • 5 years ago
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    So it must be 41 because that is the smaller number.

  11. mathmate
    • 5 years ago
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    If you want the smaller number, Calculate (110-28)/2

  12. anonymous
    • 5 years ago
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    I calculated that and got 96.

  13. anonymous
    • 5 years ago
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    @alain relax you have it!

  14. anonymous
    • 5 years ago
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    you have the answer. use it :P

  15. anonymous
    • 5 years ago
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    Why does everyone call me Alain? Lol.. my name is Alaina. xD Oh well, it can be short for it. :P And thanks everyone! :)

  16. anonymous
    • 5 years ago
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    there only is one solution.

  17. anonymous
    • 5 years ago
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    MMMKKKKK!!!!

  18. anonymous
    • 5 years ago
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    So 41 right?

  19. anonymous
    • 5 years ago
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    oh and btw. (110-28) /2 = 41 :P

  20. anonymous
    • 5 years ago
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    check your subtraction ^^

  21. anonymous
    • 5 years ago
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    RONNCC has a good answer, basically it is best to use substitution in order to solve. He said: "x + y = 110 x - y = 28. what do you think? assume y<x" and you may assume without loss of generality that y<x, since x-y=28 > 0 meaning x>y. y=x-28 from the second equation, so just substitute this into the first to give: x+x-28 = 110 ---> 2x=138 --> x=69. To find y simply use your first equation: 69+y=110 ---> y=41.

  22. anonymous
    • 5 years ago
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    substitution is nice for harder equations, but generally elimination is a good method when the coefficient of x is 1 and they are in a simple form like this.

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