SOLUTION: Use numbers 4 to 9 to fill in the magic triangle with a sum of 19?

Question 1096932: Use numbers 4 to 9 to fill in the magic triangle with a sum of 19?
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

(1) List all the ways you can add three of those numbers to get a sum of 19:
4+6+9
4+7+8
5+6+8

There are three ways, corresponding to the three sides of the magic triangle.

The numbers 4, 6, and 8 each appear twice in those sums; that means they must be in the three corners of the triangle (so they get counted twice -- once on each of two sides of the triangle).

Once you have those numbers in the corners, there will be only one way to place the other three numbers to make the sum on each side equal to 19.
RELATED QUESTIONS
Use numbers 3 to 11 to fill in a 3x3 magic square... (answered by greenestamps)

In a magic square there are 49 cells. they are filled using natural numbers from 6 to 54. (answered by richard1234)

Complete the magic square.Write numbers 0 to 15.Each vertical,horizontal,and diagonal row (answered by Tatiana_Stebko)

Sally found the magic number 12345679 in a book by Lewis Carroll. She got two students in (answered by MathLover1)

the nine numbers 49,51,53,53,55,57,57,59,61 are placed one per square in the grid so that (answered by greenestamps)

1. (3 points) Sam needs to get carpet for two rooms of his house. Estimate the number of... (answered by solver91311)

Use inductive reasoning to find the next to numbers in the sequence : 9, -5,... (answered by jim_thompson5910)

In the diagram below, you are given 9 spots to fill with numbers(2 are already given).... (answered by josgarithmetic,ikleyn)

Magic Square question use the number 1-5 all must add up to 10 what numbers are... (answered by Alan3354)