Reasoning
If we denote Alex by A, Billie by B, Charlie by C, and Drew by D and number the clues.
If Alex had three more sheep, then he'd have one fewer sheep than Billie.Whereas Drew has the same number as the other three shepherds put together.If Charlie had three fewer sheep, he'd have exactly three times the number of Alex.If they were evenly distributed, they'd each have eleven sheep.
By (4): A + B + C + D = 44
And, by (2), these are shared equally between A + B + C and D.
So D = 22, and A + B + C = 22 (*)
By (1): A + 3 = B − 1 A + 4 = B
By (3): C − 3 = 3A C = 3A + 3
Substitute B and C in (*):
A + (A + 4) + (3A + 3) = 22 5A + 7 = 22 5A = 15 A = 3
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 ? letters, one hyphen, two commas and a full stop. Interestingly, this sentence contains ? letters, one hyphen, three commas and the final full stop. Finally, this sentence contains ? letters, one hyphen, three commas and one full stop.
Answers This sentence contains sixty-seven letters, one hyphen, two commas and a full stop.Interestingly, this sentence contains eighty-nine letters, one hyphen, three commas and the final full stop.Finally, this sentence contains seventy-nine letters, one hyphen, three commas and one full stop.
