MATH PUZZLE # 01
ARITHMETIC PUZZLE:
using only mathematical symbols: =, +, -, x or * for multiplication, division n/m, square root √¯, exponent ^ or using superscripts, parens (...), brackets {...}, iverson brakets [...], the absolute value of n as in |n|, ≠, ≤, ≈, ≡, ≥, factorial or ! of n or ∟n all of which means n x (n-1) x (n-2),....., 1,
and using the four digits: 5, 5, 5, and 1 , each only once
construct an equation that sums to the number 24
answers below:
if you find additional answers please let me know:
1) 5 x 5 - 1^5 = 24 note 1^5 means the number 1 raised to the 5th power which equals 1
2) 5 x 5 + (-1)^5 = 24 note: (-1)^5 means the number -1 raised to the 5th power which equals -1
3) |√¯( 5 X 5 )| X 5 - 1 = 24 note the √¯ delivers a plus and a minus answer, so use |...| for absolute value.
4) -|√¯( 5 X 5 )| X (-5) - 1 = 24
5) 5! / |√¯( 5 X 5 )|^1 = 24 note factorial 5 = 5! = 5x4x3x2x1
6) (⌊ | √¯5 | ⌋ + ⌈ | √¯5 | ⌉) x 5 - 1 = 24 note that ⌊ ⌋ and ⌈ ⌉ means next lower whole interger and next upper whole interger respectively
7) (5 - 1/5) x 5 = 24 note this is probably the most elegant of the solutions
See the List of Mathematical Symbols in Wikipedia:
No comments