let x be the smallest number which when added to 2000 makes the resulting number divisible by 12,16,18 and 21 the sum of the digits of x is
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10
L.C.M. of 12,16,18,21 is 1008
then mutiply by 2 =1008×2=2016
sum of the number of 16 is 1+6=7
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3
The sum of the digit is 7.
Step-by-step explanation:
Consider the provided information.
First calculate the LCM of 12,16,18 and 21
12=2×2×3
16=2×2×2×2
18=2×3×3
21=3×7
The LCM of 12,16,18 and 21 is 2×2×2×2×3×3×7=1008.
Now multiply it by 2.
1008×2=2016
Hence, 16 must be added to 2000 so that the number is divisible by 12,16,18 and 21.
The sum of the digit is 1+6=7
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