SOLUTION: mount everest is the tallest mountain in the world. it is 237 meters higher than k2, the second tallest mountain. if the sum of their heights is 17459 meters, how tall is each moun

Algebra ->  Customizable Word Problem Solvers  -> Evaluation -> SOLUTION: mount everest is the tallest mountain in the world. it is 237 meters higher than k2, the second tallest mountain. if the sum of their heights is 17459 meters, how tall is each moun      Log On

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Question 475287: mount everest is the tallest mountain in the world. it is 237 meters higher than k2, the second tallest mountain. if the sum of their heights is 17459 meters, how tall is each mountain?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let e = height of Everest
Let k = height of K2
given:
+e+%2B+k+=+17459+ m
+e+=+k+%2B+237+
-------------
By substitution:
+k+%2B+237+%2B+k+=+17459+
+2k+=+17459+-+237+
+2k+=+17222+
+k+=+8611+
and
+e+=+k+%2B+237+
+e+=+8611+%2B+237+
+e+=+8848+
Everest is 8848 m high and K2 is 8611 m high