212y5 is a multiple of 3 and 11. Find the value of y?
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212y5 is a multiple of 3 and 11. Find the value of y?
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Answer:
y=8
Step-by-step explanation:
212y5 is a multiple of 3 and 11.
Divisibility by 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 (1) and (2), we get
y = 8
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