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A number, when divided by 18, leaves a remainder of 15, when divided by 9 leaves a remainder of 6, and when divided by 24 leaves a remainder of 21. Find the number.

A number, when divided by 18, leaves a remainder of 15, when divided by 9 leaves a remainder of 6, and when divided by 24 leaves a remainder of 21. Find the number. Correct Answer 69

18 – 15 = 3

9 – 6 = 3

24 – 21 = 3

LCM (18, 9, 24) = 72

∴ Number = 72 – 3 = 69

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