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Playing With Numbers

Question 5:

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:

(a) _6724

Sum of the remaining digits = 19

To make the number divisible by 3, the sum of its digits should be divisible by 3.

The smallest multiple of 3 which comes after 19 is 21.

Therefore, smallest number = 21 − 19 = 2

Now, 2 + 3 + 3 = 8

However, 2 + 3 +…

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