Find the value of p for which the number 9783p29 is divisible by 9
Answers
We have to find the value of p for which the number 9783p29 is divisible by 9.
Solution : divisibility of 9 : a number must be divisible by 9 when sum of all digits of the number be the Integral multiple of 9.
for instance, 927936 is divisible by 9 or not ?
First add all digits. I.e., 9 + 2 + 7 + 9 + 3 + 6 = 36 = 4 × 9
did you see ? sum of all digits of 927936 is 36 which is integral multiple (i.e., 4 × 9) of 9
Hence 927936 is divisible by 9.
Now let's come to the question.
given, 9783p29 is divisible by 9
It means sum of all digits of 9783p29 = 9n , where n is integers
9 + 7 + 8 + 3 + p + 2 + 9 = 9n
⇒38 + p = 9n
if we put n = 5 [ because p must be one digit number and non negative ]
⇒38 + p = 45
⇒p = 7
Therefore the value of p is 7
Answer:
hope it's helpful for you....
