SOLUTION: A mountain is 750m higher than a large building. If both the mountain and building were 7m lower, the mountain would be 16 times as high as the building. How high is each?

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Question 675359: A mountain is 750m higher than a large building. If both the mountain and building were 7m lower, the mountain would be 16 times as high as the building. How high is each?

Answer by sachi(548) About Me  (Show Source):
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let the building is x m
then mountain is x+750 m
if both the mountain and building were 7m lower, the mountain would be 16 times as high as the building
so x+750-7=16(x-7)
or x+743=16x-112
or 16x-x=743+112
or 15x=855
or x=57 m
so the building is 57 m
then mountain is 57+750 =807 m
ans