The three-digit number 2a3 is added to the number 326 to give the three-digit number 5b9. If 5b9 is divisible by 9, then a+b equals
A
6
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B
8
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C
9
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D
4
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Solution
The correct option is A6 The sum of the digits of 5b9 must be divisible by 9 5+b+9=14+b.Hereb must be 4 2a3+326=549 =>2a3=549326 =223. ∴a=2 and b=4 Hence a+b=2+4 =6