find the distance from Los Angeles to Tokyo

Question

By air, the distance from New York to London is 2001 miles less than the distance from Los Angeles to Tokyo. If the total of these two distances is 8393 miles, find the distance from Los Angeles to Tokyo.

Answer 1

Let x = the distance from Los Angeles to Tokyo.

So the distance from NY to London would = x-2001

 

As the total of these two distances is 8393, the sum of the two distances will equal that.

 

x + (x-2001) = 8393

2x - 2001 = 8393

2x = 10394

x = 5197.