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Because the number is the square of its units digit, it must be the square of a number between 1 and 9. Look at the squares of the first nine numbers.
The square of 1 is 1.
The square of 2 is 4.
The square of 3 is 9.
The square of 4 is 16.
The square of 5 is 25.
The square of 6 is 36.
The square of 7 is 49.
The square of 8 is 64.
The square of 9 is 81.
Of these numbers, 1, 25, and 36 are squares of their units digit.

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Q: What number is the square of its units digit?
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When the digits of a two digit number are reversed the new number is 36 more than the original number the units digit is twice the tens digit What is the original number?

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