Question

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.

Answer 1

Given, $2a3+326\_\_\_\_\_\_\_5b9$
We see that,
In one's column, 3 + 6 = 9 (true)
In third column, 2 + 3 = 5 (true)
$\therefore$ a + 2 is a single digit number b as there is no carry-over in the addition.
Thus, a + 2 = b $\Rightarrow$ b - a = 2