If the digits of a two-digit number are interchanged, the number so obtained is greater than the original number by 18. If the sum of the two digits of the number is 14. What is the original number ? Choose the correct option.
A) 68 B) 77 C) 95 D) 86 E) 89
Explanation :   Let the no. be 10x + y.   No. formed by the interchange of digits = 10y + x   We have y - x = 2 .....(i)   y + x = 14 .....(ii)   Solving (i) and (ii), we get x = 6, and y = 8   ∴ the no. is 68.   68nswer : Option 68
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If the digits of a two-digit number are interchanged, the number so obtained is greater than the original number by 18. If the sum of the two digits of the number is 14. What is the original number ?