What is a number that is less than 3000, and when divided by 32, leaves a remainder of 30, and when divided by 58, leaves a remainder of 44?

I think I know it. The number less than 3000 and if divided by 32 the remainder is 30 is 960.The number less than 3000 and if divided by 58 the remainder is 44 is 2552.

Answered by Hilda1383 | 2024-06-10

The number that meets the conditions of being less than 3000, leaving a remainder of 30 when divided by 32, and a remainder of 44 when divided by 58 is 1182. This was found by solving the congruences using modular arithmetic. Verifying, both conditions are satisfied with this number.
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Answered by Anonymous | 2024-12-17