Number System
When (21)² is subtracted from the square of a number the answer obtained is 1584. What is the number ?

55
65
45
35

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Number System
In a two-digit number, if it is known that its unit's digit exceeds its ten's digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is:

24
26
42
46

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