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

6

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8

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9

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4

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Solution

The correct option is A $6$
The sum of the digits of $5 b 9$ must be divisible by $9$
$5 + b + 9 = 14 + b$ .Here $b$ must be $4$
$2 a 3 + 326 = 549$
$=> 2 a 3 = 549326$
$= 223$ .
$∴ a = 2$ and $b = 4$
Hence $a + b = 2 + 4$
$= 6$

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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

The correct option is A 6The sum of the digits of 5b9 must be divisible by 95+b+9=14+b.Hereb must be 42a3+326=549 =>2a3=549326 =223.∴a=2 and b=4Hence a+b=2+4 =6

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

The correct option is A $6$
The sum of the digits of $5 b 9$ must be divisible by $9$
$5 + b + 9 = 14 + b$ .Here $b$ must be $4$
$2 a 3 + 326 = 549$
$=> 2 a 3 = 549326$
$= 223$ .
$∴ a = 2$ and $b = 4$
Hence $a + b = 2 + 4$
$= 6$