Each letter represents a different number. Using the clues given, find which number each letter represents.

Question

In Numberrangements, you are given an arrangement of letters. The letters represent all of the whole numbers from 1 to the total number of letters used. Each letter represents a different number. Using the clues given, find which number each letter represents.

ABC
DEF
GHI

1. The sum of the top row is greater than the sum of the middle row, which is greater than the sum of the bottom row.
2. E is a prime factor of G.
3. F is greater than A.
4. The sum of B and G is equal to H.
5. I is not 1.

Answer 1

A=7,B=1,C=9
D=6,E=2,F=8
G=4,H=5,I=3
1.A+B+C=17.D+E+F=16.G+H+I=12
A+B+C>D+E+F>G+H+I
2.E is a prime factor of G. 2 is a prime factor of 4.
3.F>A, 8>7
4.B+G=h,1+4=5
5.I is not equal to 1. I=3