Daily puzzle

Algebra Level 1

Red + yellow = orange.
Blue + red = purple.
yellow + blue = green

( k - orange + purple - blue ) ( k - red - green + blue ) = 0

solve k ?

Red and orange Blue and Yellow Yellow and green Green and purple Yellow and orange

1 solution

David Agustinus
Jun 2, 2017

Blue + red = purple so
Purple - blue = red

.........................................

red + Yellow = Orange so
orange - red = yellow

Yellow + blue = Green so
Green - Blue = Yellow

( k - orange + purple - blue )( k - red - green + blue ) = 0
( k - orange + purple - blue )( k - ( red + green - blue ) ) = 0
( k - orange + red )( k - ( red + green - blue )) = 0
( k - ( orange - red ) )( k - ( red + yellow ) ) = 0
( k - Yellow )( k - Orange ) = 0

so

k = Yellow , k = Orange