Reasoning
A number that is divisible by 3 has digits that add up to a number that is also divisible by 3 (for example, 123 is divisible by 3).
So we can look for the first number where 4 + 4 + 4 + 4 + 4 + … is divisible by 3, which is 4 + 4 + 4, and 444 ÷ 3 = 148.
Alternative Reasoning
Let's try the possible answers in order:
4 ÷ 3 = 1.3333 44 ÷ 3 = 14.6666 444 ÷ 3 = 148
Double-Checking
148 x 3 = 444.
??
Puzzle 19
In each of these sentences, can you replace the missing number.
The number is written as a word (e.g. five, twenty-four, thirty-three), and each sentence is correct after the replacement.
This sentence contains exactly ? E's and not one more. However, this sentence contains exactly ? S's, with a single Z. Finally, to finish, this sentence has exactly ? I's.
Answers This sentence contains exactly eight E's and not one more.However, this sentence contains exactly seven S's, with a single Z.Finally, to finish, this sentence has exactly six I's.
