A number consists of two digits, whose sum is 10. If 18 is subtracted from the number, digits are reversed. The number is ----

A 64
B 46
C 55
D 73

Correct Answer: 64

[***This question is erroneous. Correction: If '14' is subtracted.....] Let,  X and Y be the decimal and unit place digits respectively. So, the number is (10X + Y). If the digits gets reversed, the number becomes (10Y + X). Now,  X + Y = 10 or, X = 10 - Y Again,  10X + Y - 14 = 10Y + X or,  10(10 - Y) - 14 = 10Y + (10 - Y) or,  100 - 10Y - 14 = 10Y + 10 - Y or,  10Y + 10Y - Y = 100 - 14 - 10 or,  19Y = 76 or,  Y = 4 So,  X = 10 - Y = 10 - 4 = 6 Therefore the number is 64.
Bissoy MCQ
#গণিত #পাটিগণিত প্রাথমিক ধারণা (Basic Concept) #Standard Bank Ltd #Standard Bank Ltd - Probationary Officer - 09.05.2008

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