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2025 AMC 10B Problem 4

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2025 AMC 10B Problem 4AMC 10 Step by Step
Name:                             Date: September 13, 2026
Bases & Digits · difficulty 2 of 5 · about 2 min · position P1-10

The value of the two-digit number a‾ b‾\underline{a}~\underline{b} in base seven equals the value of the two-digit number b‾ a‾\underline{b}~\underline{a} in base nine. What is a+b?a+b?

  1. A)

    77

  2. B)

    99

  3. C)

    1010

  4. D)

    1111

  5. E)

    1414

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