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:

46
26
42
24

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Number System
The difference between a two-digit number and the number obtained after interchanging its two digits is 36. The sum of the two digits of the number is 12. Find the lowest such possible number.

50
47
49
48

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Number System
In how many different ways can be the letters of the word PENCIL be arranged among themselves ?

640
720
510
860

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