what is the least number which when divided by 18 and 24 leaves a remainder of 11 and 17 respectively?
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answer is 2
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If n is any integer that leaves a remainder 11, 17 when divided by 18 , 24 respectively, then n+2 is a common multiple of 18, 24. This is the same as saying n+2 is a multiple of lcm(18,24)=72. The least positive integer with this property is n=70. (72 - 2 = 70)
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