Math, asked by kinekomurun, 1 year ago

If 923p783 is divisibleby 11 ,what is the value of p ?

Answers

Answered by Golda

Solution:-
To find if a number is divisible by 11, the difference of sum of digits at even places and sum of digits at odd places should be either 11 or 0.

Now, consider the number 923p783.
Sum of the digits at even places = 2 + p + 8 = 10
Sum of the digits at odd places = 9 + 3 + 7 + 3 = 22
Difference = 22 - 10 = 12
12 is 1 more than 11.
So, the value of p is 1 and the number is 9231783.
Answer.

dikshaverma4you: how is 2+p+8 = 10 .... as sum is not given in the ques. and also by this it directly gives the value 10 of p

Golda: I know it is not given in the question but this is the method you can check any number whether it is divisible by 11 or not.

dikshaverma4you: but since it isn't mentioned in the ques. so there might be some other method for solving this ques. as well as we can't assume things, ryt

kvnmurty: d = Difference of the sums of alternate numbers : 22 - 10 - p = 12 - p... Divisibility means: d =0, 11, 22 etc. d cannot be 0 or 22 as p is a digit only. But it can be 11 if p = 1....

Answered by AditiTIWARI01

Answer:

DIFFERENCE BETWEEN THE SUM OF DIGITS AT EVEN PLACES AND THE SUM OF DIGITS AT ODD PLACES IS EITHER 0 OR MULTIPLE OF 11.(MULTIPLES OF 11:- 11,22,33,44,55,66,77,88,99,110)

Step-by-step explanation: NOW LETS CONSIDER, 923P783 .

9 2 3 P 7 8 3

O E O E O E O ( O REPRESENTS ODD AND E REPRESENTS EVEN AND ALWAYS START FROM ODD AND END IN ALSO ODD.)

SUM OF ODD ONES:- 9+3+7+3= 22

SUM OF EVEN ONES:- 2+P+8= 10

22-10=12, BUT 12 IS 1 MORE THAN 11 SO, 12-1=11, SO P = 1, HOW LETS CHECK!

9 2 3 1 7 8 3

O E O E O E O

SUM OF ODD ONES:- 9+3+7+3= 22

SUM OF EVEN ONES:- 2+1+8= 11

22-11= 11 SO VALUE OF P IS 1.

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