Question:
Without performing actual computations, find the quotient when 94 − 49 is divided by
(i) 9
(ii) 5
Solution:
(i) We know that when $\overline{\mathrm{ab}}-\overline{\mathrm{ba}}$ is divided by 9 , the quotient is $\mathrm{a}-\mathrm{b}$.
Therefore, when $(94-49)$ is divided by 9 , the quotient is $(9-4=5)$.
(ii) We know that when $\overline{\mathrm{ab}}-\overline{\mathrm{ba}}$ is divided by $(\mathrm{a}-\mathrm{b})$, the quotient is 9 .
Therefore, when $(94-49)$ is divided by $(9-4=5)$, the quotient is 9 .