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March 28, 2017

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NR
+ RN
--------
ABC


The addition problem above is correct. If N, R, A, B, and C are different digits, what is the greatest possible value of B+C?

  • SAT Math - ,

    RN cannot be 99, since R≠N

    If RN=98 then
    98+89 = 187

    So, B+C=15
    That's my final answer.

    If B+C=16, then since B≠C, the digits must be 79. 97+79=176, B+C=13

    it's also easy to show that B+C≠17 or 18

  • SAT Math - ,

    It is 11

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