Ray writes a two digit number. He sees that the number exceeds 4 times the sum of its digits by 3. If the number is increased by 18, the result is the same as the number formed by reversing the digits. Find the sum of the digits of the number.	Choose the correct choice
A) 8  B) 9  C) 10  D) 12  E) 11
Explanation:   Let the two digit number be xy.   4(x + y) +3 = 10x + y - - - (1)   10x + y + 18 = 10 y + x - - - (2)   Solving 1st equation,   4x + 4y + 3 = 10x + y   3y + 3 = 6x   6x – 3y   3  + 3= 
<gadget id="calculator">  3  + 3</gadget>
<output>6</output>
6x   6x – 3y= 3   Therefore, 2x – y = 1 - - - (3)   Solving 2nd equation,   xy + 18 = yx   ⇒⇒ (10x + b) + 18 = 10y + x   ⇒⇒ 18 = 9y – 9x   ⇒⇒ 2 = y – x   we get y - x = 2 - - - (4)   adding 3 and 4, we get x = 3   By substituting in (4), we get y = 5   So the given number is 35. Sum of the digits = 8.   Correct option: 8
<result>A</result>
Ray writes a two digit number. He sees that the number exceeds 4 times the sum of its digits by 3. If the number is increased by 18, the result is the same as the number formed by reversing the digits. Find the sum of the digits of the number.