Question

Sum of two digits of a two digit number is 11. When digits of the number are reversed then number formed is 45 more than the original number. Find the original number.

A 65 Correct Answer Incorrect Answer
B 56 Correct Answer Incorrect Answer
C 83 Correct Answer Incorrect Answer
D 38 Correct Answer Incorrect Answer
E None of these Correct Answer Incorrect Answer

Solution

Let the number be 10x + y. ATQ, => 10y + x – 10x - y = 45 => y – x = 5 ------ (i) => x + y = 11 ------ (ii) Solving (i) and (ii) , we get => x = 3 and y = 8 Therefore number = 38

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