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A two-digit number has 3 in its unit digit. The sum of its digits is one-seventh of the number itself. What is the number?

A two-digit number has 3 in its unit digit. The sum of its digits is one-seventh of the number itself. What is the number? Correct Answer 63

Let the decimal placed digit be X. Then the number is (10X + 3). Again, X + 3 = (10X + 3) / 7 or,  7X + 21 = 10X + 3 or,  10X - 7X = 21 - 3 or, 3X = 18 or, X = 6 So, the number is 63.

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