SOLUTION: Buried Treasure. Ahmed has half of a treasure map, which indicates that the treasure is buried in the desert 2x + 6 paces from Castle Rock. Vanessa has the other half of the map. H

Question 148177: Buried Treasure. Ahmed has half of a treasure map, which indicates that the treasure is buried in the desert 2x + 6 paces from Castle Rock. Vanessa has the other half of the map. Her half indicates that to find the treasure, one must get to Castle Rock, walk x paces to the north, and then walk 2x + 4 paces to the east. If they share thier information, then they can find x and save a lot of digging. What is x?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
If I just know Ahmed's half, the treasure has to be at the outer
edge of a circle with center at Castle Rock and radius =
paces.
Vanessa's half says "walk x paces to the north, and then walk 2x + 4 paces to the east." But her instructions must put her on the edge of Ahmed's circle with
radius =
The radius and the North and South walks form a right triangle, so

subtract from both sides

now solve for

answer
reject this one (can't walk minus paces)
Now plug this into data given to check:
Ahmed's paces:

Vanessa's paces:
East:

North:
Now does right triangle check out?

OK
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