A three-digit number 4a3 is added to another three-digit number 984 to give a four digit number 13b7, which is divisible by 11. What is the value of (a + b)?	Pick one:  A) 8  B) 10  C) 14  D) 17  E) 19
4 a 3   9 8 4   13 b 7   =&gt; a + 8 = b ...(1)   13b7 is divisible by 11   =&gt; (1 + b) - (3 + 7) is 0 or divisible by 11   =&gt; (b - 9) is 0 or divisible by 11 ...(2)   Assume that (b - 9) = 0   =&gt; b = 9   Substituting the value of b in (1),   a + 8 = b   a + 8 = 9   =&gt; a = 9 - 8= 
<gadget id="calculator">9 - 8</gadget>
<output>1</output>
1   If a= 1 and b= 9,   (a + b) = 1 + 9= 
<gadget id="calculator">1 + 9</gadget>
<output>10</output>
10   10 is there in the given choices. Hence 10 is the answer.
<result>B</result>
A three-digit number 4a3 is added to another three-digit number 984 to give a four digit number 13b7, which is divisible by 11. What is the value of (a + b)?