A number consists of 3 digit whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. The number is:	Choose the correct choice from the following answers:  A) 22  B) 24  C) 77  D) 26  E) 81
Explanation:   Let the ten's and unit's digit be x and 8/x respectively.   Then,   (10x + 8/x) + 18 = 10 * 8/x + x   9x2 + 18x - 72 = 0   x2 + 2x - 8 = 0   (x + 4)(x - 2) = 0   x = 2   So, ten's digit = 2 and unit's digit = 4.   Hence, required number = 24.   Answer: 24
<result>B</result>
A number consists of 3 digit whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. The number is: