MATH
posted by mathemagiacian
Starting from the point (0,0), a grasshopper makes a series of leaps on the coordinate plane. The grasshopper's first leap takes her to (3,4). After a move which adds (x,y) to the grasshopper's coordinates, her next move adds either (x,y1) or (x1,y) to her coordinates. Thus her second move adds either (3,3) or (2,4) to her position, landing her at (6,7) or (5,8) accordingly.
If the grasshopper's x and y coordinates never decrease, and if she ends at the point (a,a) where a is as large as possible, then what is the value of a?
Give an explanation with the answer. Thanks!!!! :)
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