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anonymous

  • 5 years ago

the sum of the digits of two-digit number is 15. if the digist are reversed the new number is 27 less than the original number. Find the original number

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  1. Yuki
    • 5 years ago
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    interesting problem

  2. Yuki
    • 5 years ago
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    let's say that the 10th digit is a and the units to be b

  3. Yuki
    • 5 years ago
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    then a + b = 15

  4. Yuki
    • 5 years ago
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    our two digit number can be represented as 10a + b

  5. Yuki
    • 5 years ago
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    so if you reverse the order it becomes 10b + a

  6. Yuki
    • 5 years ago
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    the new one is 27 less than the original number, so your other equation will be 10b+a = 10a+b -27

  7. Yuki
    • 5 years ago
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    now that you have two equations with two unknowns, you can solve for the system of equations.

  8. anonymous
    • 5 years ago
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    please help me with the answer :(

  9. anonymous
    • 5 years ago
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    the two eqs are a+b=10 10b+a-10a-b=-27 9a-9b=-27

  10. radar
    • 5 years ago
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    which is it a+b=15 or a+b=10?

  11. anonymous
    • 5 years ago
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    ah...a+b=15

  12. anonymous
    • 5 years ago
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    Did you guys find the number?

  13. anonymous
    • 5 years ago
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    a+b=15 9a-9b=-27 are the two eqs solving the two eqs... a=6 n b=9

  14. radar
    • 5 years ago
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    96 , 9+6=15 69=96-27

  15. anonymous
    • 5 years ago
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    So, the original number is 96.

  16. radar
    • 5 years ago
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    Looks like a good Bingo lol

  17. anonymous
    • 5 years ago
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    but as yuki took the places of digits,,10a+b gives 69:S

  18. anonymous
    • 5 years ago
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    i guess second eq should be 10b+a+27=10a+b ???

  19. radar
    • 5 years ago
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    I gave yuki a medal anyway

  20. radar
    • 5 years ago
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    You're getting one too

  21. anonymous
    • 5 years ago
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    :)

  22. anonymous
    • 5 years ago
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    n u know i made mistake in solving a qs too :P

  23. radar
    • 5 years ago
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    It is the spirit of the effort that counts.

  24. anonymous
    • 5 years ago
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    right...but it surly confuses the one who posts the question

  25. anonymous
    • 5 years ago
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    thank you guys u are life saaaavvveeeerrrssss

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