find all possible value of x for which the number 7x3 is divisible by 3. also, find each such number
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Here, our given number is 7x3, which is divisible by 3.
We know that if number is divisible by 3 only when sum of digits of given number is divisible by 3.
Hence, if 7x3 is divisible by 3, then,
7 + x + 3 = 0, 3, 6, 9,12,…
∴ 10 + x = multiple of 3.
Hence, x = (multiple of 3) – 10
Here, possible values for multiples of 3 are 12, 15 and 18
Hence, x = 2, 5 or 8
Hence, possible numbers are 723, 753 and 783
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