A number consists of two digits whose sum is 11. If 27 is added to the number, then the digits change their places. What is the number ?
Pick: A) 47 B) 65 C) 83 D) 92 E) 98
Explanation:   Let the ten's digit be x. Then, unit's digit = (11 - x).   So, number = 10x + (11 - x) = 9x + 11.   Therefore (9x + 11) + 27 = 10 (11 - x) + x 9x + 38 = 110 - 9x 18x = 72 x = 4.   Thus, ten's digit = 4 and unit's digit = 7.   Hence, required number = 47.   47nswer: Option 47
<result>A</result>
A number consists of two digits whose sum is 11. If 27 is added to the number, then the digits change their places. What is the number ?