Math, asked by anoop17, 1 year ago

If the number 53__39 is divisible by 11 then the what is the number

Answers

Answered by Thatsomeone
3
Let the missing digit be x

so the number is

53x39

If the difference between the sums alternate numbers should be 0 or multiple of 11

so sum of of alternate numbers = 5 + x + 9 = 13 + x

and 3 + 3 = 6

13 + x - 6 = 0

5 + x = 0

x = - 5 it is not possible

so

13 + x - 6 = 11

7 + x = 11

x = 4

so the required digit is 4


sunnykhelera12p53mgc: If the no. is divisible by 11
sunnykhelera12p53mgc: Then the difference of even no. and odd no. is 0 or multiple of 11 the no. 53x39. Here x = 3.
Answered by prashantraj1800
1
3
Because sum of even place digit number is 3+3=6
and
Sum of odd place digit number 9+5=14
14-6=8
Now
11-8=3
Required number is 3

anoop17: yes tks
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