find the missing number 92_389 which is divisible by 11
Answers
Answer:
sum of odd place digits=9+x+8=17+x
sum of even place digits=2+3+9=14
difference=17+x-14=3+x
if 3+x=0
x= -3 whichbis not possible
if 3+x =11
x =11 - 3
=8
hence missing number in 92_389 is 8
Answer:
8
Step-by-step explanation:
Given: The number is divisible by 11
To find:
The missing number
Solution:
Put a in the empty space.
9 + 3 + 2 = 14 is the sum of the digits in the odd locations.
The sum of the even digits is 8 + a + 9 = 17 + a.
Difference: (14 + 3 + a) = 17 + a
This difference must be zero or a multiple of 11 for the integer to be divisible by 11.
If 3 + a = 0, then
a = − 3
But it can't be unfavourable.
It is necessary to choose the nearest multiple of 11, which is close to 3. It already is 11.
3 + a = 11
a = 8
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