If 123123A4 is divisible by 11, find the value of A.
Solution:
If the number 123123A4 is divisible by 11 then the difference of the sum of digits in odd places and even places is 0 or multiple of 11.
Therefore:
(1 + 3 + 2 + A) - (2 + 1 + 3 + 4) = 0
A = 4
Or
(1 + 3 + 2 + A) - (2 + 1 + 3 + 4) = 11
6 + A - 10 = 11
A = 15 which is not a valid option because it is two digit.
Hence if A = 4 the number 123123A4 is divisible by 11.
✦ Try This: If 456456A7 is divisible by 11, find the value of A.
If the number 456456A7 is divisible by 11 then the difference of the sum of digits in odd places and even places is 0 or multiple of 11
Therefore:
(4 + 6 + 5 + A) - (5 + 4 + 6 + 7) = 0
A = 7
Or
(4 + 6 + 5 + A) - (5 + 4 + 6 + 7) = 11
A = 18
A = 18 which is not a valid option because it is two digit.
Hence if A = 7 the number 456456A7 is divisible by 11.
☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 16
NCERT Exemplar Class 8 Maths Chapter 13 Problem 73
If 123123A4 is divisible by 11, find the value of A.
Summary:
If A = 4 the number 123123A4 is divisible by 11.
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