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Question 66
A three-digits number 2a3 is added to the number 326 to give a three-digits number 5b9 which is divisible by9. Find the value of b - a.
Question 66
A three-digits number 2a3 is added to the number 326 to give a three-digits number 5b9 which is divisible by9. Find the value of b - a.
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Solution
Given, 2 a 3+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
Given, 2 a 3+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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