Reversing the 3 Digit Numbers and Subtracting Them
In the given ...
Question
Question 9
In the given question, out of four options, only one is correct. Write the correct answer.
If abc is a three-digit number, then number abc - a - b - c is divisible by (a) 9 (b) 90 (c) 10 (d) 11
Open in App
Solution
We have, abc = 100a + 10b + c ∴ abc - a - b - c = (100a + 10b + c) - a - b - c = 100a - a + 10b - b = 99a + 9b = 9(11a + b) Hence, the given number abc - a - b - c is divisible by 9.