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?

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) (Show Source): You can put this solution on YOUR website!
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

RELATED QUESTIONS
you can bike a mountain at a speed of 2.5 miles per hours lower than your speed coming... (answered by jorel1380)

A hiker hikes up a mountain 1mph slower than she hikes down the mountain. If it takes... (answered by checkley77)

The height of mountain Upper A is 65 feet more than half the height of mountain Upper C. (answered by Fombitz)

Bob is driving along a straight and level road toward a mountain. At some point on his... (answered by Boreal)

Mount Everest is the tallest mountain in the world. It is 237 meters higher than K2, the... (answered by DWL,askmemath)

mount everest is the tallest mountain in the world. it is 237 meters higher than k2, the... (answered by josmiceli)

If Jim rode a bike trail for 10 miles, and 2/3 was ridden over a mountain trail, how long (answered by stanbon)

A motorist made a 200 km trip averaging 50 km/h on a level road and 25 km/h on a mountain (answered by ankor@dixie-net.com)

A company manufactures both mountain bikes and trail bikes. The cost of materials for a... (answered by ikleyn)