Question

If 3 digit number 24x is divisible by 9 them find the value of x where x is a digit

Answer 1

$$\begin{gathered} DearStudent \\ Given, \\ Threedigitnumber=24x \\ and24xthatisdivisibleby9 \\ Weknowthat,anumberisdivisibleby9onlywhenthesumofthedigits \\ ofthenumberofdivisibleby9 \\ Then \\ SumofDigits=2+4+x=6+x \\ So \\ 6+x=9 \\ =>x=9-6 \\ =>x=3 \\ Thus,243willbedivisibleby9 \\ Regards \end{gathered}$$