The unit digit of a two-digit number is 6. If 9 is added to the number – InterviewSolution

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1.	The unit digit of a two-digit number is 6. If 9 is added to the number, then the number obtained is `5//4th` of the number itself. Find the sum of the digitsA. 7B. 8C. 9D. 10
Answer» Correct Answer - c Let the tens digit be x Given, units digit be 6 `:. (10x + 6) + 9 = (5)/(4) (10x +6)` `rArr 10x + 15 = (5)/(4) (10 x+6)` `rArr 2x + 3 = (1)/(2) (5x + 3)` `rArr 4x + 6 = 5x +3` `rArr x = 3` `:.` The sum of the digits `= 6 + 3 = 9` Hence, the correct option is (c)

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