House Number Logic

Logic Level 3

A red, blue, green, and yellow house are all on the same side of a street that travels west to east, in that order.

The westmost house has the smallest house number and the numbers get larger for each successive house, although the numbers are not necessarily in some arithmetic pattern. The numbers correspond to distance, so (for example) house numbers that are 4 apart are twice as far away as house numbers that are 2 apart.

Based on the clues below, what is the yellow house numbered?

1.) All the houses have even numbers.

2.) The green house is further from the blue house than it is from the yellow.

3.) The red house is 10 apart from the yellow house.

4.) The blue house is #242. The three distances from the blue house to the other houses are all different numbers.


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