Question

Write the smallest digit and the greatest digit in the blank space of each of the following
numbers so that the number formed is divisible by 3:
(a) __ 6724
(b) 4765 __ 2

Answer 1

Answer:

0 and 9

Step-by-step explanation:

we can find the missing number by firstly finding the sum of digits of the given numbers and then subtract it from those multiple of 3, which are greater than this sum to get the smallest and greatest digits.

i) 6+7+2+4=19

multiples of 3 greater than 19 are 21,22,27,30

therefore, 21-19=2, 24-19=5, 27-19=8, 30-19=11

smallest digit=2 greatest digit=8

ii) 4+7+6+5+2=24

24 is a multiple of 3 so smallest digit is 0 greater than 24 are 27,30,33,36

27-24=3, 30-24=6, 33-24=9 36-24=12

smallest digit=0 and greatest digit=9

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