212x5 is a multiple of 3 and 11 . Find x.
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Answered by
29
x =5 or 8 or 2 as adding these gives only solution for divisibility of 3
substituing each value and dividing it by 11 we get that only 8 can be substituted to make the number divisible by 11
substituing each value and dividing it by 11 we get that only 8 can be substituted to make the number divisible by 11
buddy12:
pls mark it as braniliest
Answered by
46
212x5 is multiple of 3 and 11 . It means 212x5 is divisible by 3 and 11 both.
Divisibility text of 11:- the difference between the sum of digits at the even
position and the sum of digits at odd position is 0 or 11
Now,
(2 + 1 + 2 + x + 5 ) = (10+x) is divisible by 3 _________________(1)
and (1 + x) - (2 + 2 + 5) = 0 or divisible by 11
x - 8 = 0 or divisible by 11
x = 8 or 8 + multiple of 11 _____________(2)
From eqns (1) and (2)
Hence, minimum value of x = 8
Divisibility text of 11:- the difference between the sum of digits at the even
position and the sum of digits at odd position is 0 or 11
Now,
(2 + 1 + 2 + x + 5 ) = (10+x) is divisible by 3 _________________(1)
and (1 + x) - (2 + 2 + 5) = 0 or divisible by 11
x - 8 = 0 or divisible by 11
x = 8 or 8 + multiple of 11 _____________(2)
From eqns (1) and (2)
Hence, minimum value of x = 8
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