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Question
A three-digit number 2 a 3 is added to the number 326 to give a three-digit number 5b9 which is divisible by 9. Find the value of b – a.
Solution
2 a 3
Given, + 3 2 6
5 b 9
We see that,
In one's column, 3 + 6 = 9 (true)
In third column, 2 + 3 = 5 (true)
∴ a + 2 is a single digit number b as there is no carry-over in the addition.
Thus, a + 2 = b ⇒ b – a = 2
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