Question
Find the least positive number which leaves remainders
5, 6 and 7 when divided by 8, 9 and 10 respectively.Solution
If a number leaves remainders 5, 6, 7 when divided by 8, 9, 10, then: x + 3 is divisible by 8, 9 and 10 LCM of 8, 9, 10 = 360 So, x + 3 = 360 x = 357
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