(\boxed4464)

Thus min sum = 108.

Let (a) and (b) be positive integers such that (\frac1a + \frac1b = \frac317). Find the minimum possible value of (a+b).

Total 4-digit numbers: 9000 (from 1000 to 9999). Count those with all digits distinct : First digit: 1-9 (9 choices). Second: 0-9 except first (9 choices). Third: 8 choices. Fourth: 7 choices. Product: 9 9 8*7 = 4536. So with at least one repeated digit: 9000 - 4536 = 4464.

For middle school math enthusiasts, few competitions carry the prestige and intensity of the MATHCOUNTS National Championship. At the heart of this high-stakes event lies the Sprint Round —a 40-minute, 30-problem solo journey that separates the merely quick from the genuinely brilliant. If you’ve been searching for Mathcounts National Sprint Round problems and solutions , you’re likely aiming to understand not just how to get the right answer, but how to think like a champion.

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Sprint Round Problems And Solutions - Mathcounts National

(\boxed4464)

Thus min sum = 108.

Let (a) and (b) be positive integers such that (\frac1a + \frac1b = \frac317). Find the minimum possible value of (a+b).

Total 4-digit numbers: 9000 (from 1000 to 9999). Count those with all digits distinct : First digit: 1-9 (9 choices). Second: 0-9 except first (9 choices). Third: 8 choices. Fourth: 7 choices. Product: 9 9 8*7 = 4536. So with at least one repeated digit: 9000 - 4536 = 4464.

For middle school math enthusiasts, few competitions carry the prestige and intensity of the MATHCOUNTS National Championship. At the heart of this high-stakes event lies the Sprint Round —a 40-minute, 30-problem solo journey that separates the merely quick from the genuinely brilliant. If you’ve been searching for Mathcounts National Sprint Round problems and solutions , you’re likely aiming to understand not just how to get the right answer, but how to think like a champion.