Question
The largest three-digit number that gives the same
remainder 2 when divided by 3, 5 and 9 is ________.Solution
According to the questions, The highest three-digit number = 999 L. C. M of 3, 5 and 9 = 135 999 ÷ 135 Remainder = 54 So, The greatest number divisible by 3, 5 and 9 = 999 – 54 = 945 The required number that will leave the remainder 2 945 + 2 = 947 ∴ The highest three-digit number is 947.
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