Distance from kims house to NYC is 1550 miles
Solution:
Let "a" be the distance from kims house to NYC
Let "b" be the distance from kims house to LA
Given that distance from Kim's house to NYC is 100 miles more than the distance from her house to LA
Therefore,
distance from Kim's house to NYC = 100 + distance from her house to LA
a = 100 + b ------ eqn 1
The sum of the distances is 3,000 miles
distance from kims house to NYC + distance from kims house to LA = 3000
a + b = 3000 ------- eqn 2
Let us solve eqn 1 and eqn 2
Substitute eqn 1 in eqn 2
100 + b + b = 3000
2b = 3000 - 100
2b = 2900
From eqn 1,
a = 100 + 1450
Thus distance from kims house to NYC is 1550 miles
