Triangles that Follow Two Rules: Next Challenge

Yesterday’s Problem:

Numbers must be inserted into the triangular array following two simple rules:

1. Each number may appear only once.
2. Each number must be the difference of the two numbers immediately above it.

For example, if a 6 and a 4 appear on one line, the number immediately below must be a 2.

The smallest triangle has been filled in with the numbers from 1 to 3.

3  2

1

Now, fill in three sequences below using the numbers 1 to 10.

Answers:

6  1

5

10  8

2

4  7

3

Today’s Problem:

Same rules as yesterday’s challenge: Numbers must be inserted into the triangular array following two simple rules:

1. Each number may appear only once.
2. Each number must be the difference of the two numbers immediately above it.

For example, if a 6 and a 4 appear on one line, the number immediately below must be a 2.

Now, fill in the sequences using the numbers 1 to 15.