Question
A 3-digit number 4a3 is added to another 3-digit number 984 to give a 4-digit number 13b7, which is divisible by 11. Then , (a +b) = ?
Answer: Option A
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4 a 3
9 8 4 `rArr` a + 8 = b `rArr` b - a = 8
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13 b 7
Also, 13 b 7 is divisible by 11 `rArr` ( 7 + 3) - (b + 1) = (9 - b) `rArr` (9 - b) = 0 `rArr` b = 9.
`therefore` (b = 9 and a = 1) `rArr` (a + b) = 10.
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