puzzle 78 curious village
Puzzle 78: The Four Digits (from Professor Layton and the Curious Village) Problem: Using the digits 1, 3, 4, and 6, along with the operations +, , , , and parentheses, you must create an expression that equals 24. Each digit must be used exactly once, and only the four basic arithmetic operations are allowed. Solution: One valid expression is: [ 6 div (1 - (3 div 4)) = 24 ] Step-by-Step Breakdown: Calculate ( 3 div 4 ): ( 3 div 4 = 0.75 ). Subtract from 1: ( 1 - 0.75 = 0.25 ). Divide 6 by the result: ( 6 div 0.25 = 24 ). Alternative Solution: Another approach is: [ (6 imes (1 + 3)) - 4 = 24 ] ( 1 + 3 = 4 ), ( 6 imes 4 = 24 ), ( 24 - 4 = 20 ) (Oops, this doesnt work! Disregard this.) The first solution is correct. Why This Works: The key is using division to create fractions (like ( 3 div 4 )) and then leveraging subtraction to form a reciprocal (( 1 - 0.75 = 0.25 )), which multiplies with 6 to yield 24. Let me know if you'd like further clarification!
Puzzle 78: The Four Digits (from Professor Layton and the Curious Village) Problem: Using the digits 1, 3, 4, and 6, alo...
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