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Home » Thus, the number of such integers is \(\boxed10\).1. - Baxtercollege

Thus, the number of such integers is \(\boxed10\).1. - Baxtercollege

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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Still same result.
Alternatively, maybe the question meant **three less than a multiple o...
But let’s reconsider: perhaps the intended LCM was miscalculated.
Wait: $ \text{lcm}(7,8,9) $:
$ 7 $: prime
$ 8 = 2^3 $, $ 9 = 3^2 $ → coprime to others
So $ \text{lcm} = 7 \cdot 8 \cdot 9 = 504 $, correct.
Hence, no two-digit number satisfies $ x \equiv -3 \pmod{504} $.
The smallest positive solution is $ x = 501 $, which is three-digit.
Therefore, there is **no two-digit** such number.

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