Lê Quốc Trần Anh Coordinator
27/04/2018 at 11:29The sum of each row and each column is shown below. Find the number missing and find A,B,C,D,E:
| A | B | B | B | C | 16 |
| A | D | C | D | E | 19 |
| A | B | D | C | E | 17 |
| A | E | A | B | F | 16 |
| B | F | B | F | E | ?? |
| 22 | 12 | 18 | 16 | ?? |
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huynh anh phuong 22/05/2018 at 11:36
We have: A+A+A+A+B=22
So A=4 and B=2.
We have A+B+B+B+C=16
But A=4 and B=2 has required so C=6.
We have B+C+D+A+B=18
But A=4,C=6 and B=2 has required so D=18-A-C-B-B=18-4-6-2-2=4.
We have A+D+C+D+E=19
But A=4,C=6,D=4 so E=19-A-D-C-D=19-4-4-6-4=1
We have:A+B+C+D+E=17
=4+2+6+4+1=17 (right)
So F=16-A-E-A-B=16-4-1-4-2=5.
\(\Rightarrow\)The row=B+F+B+F+E=2+5+2+5+1=15;The column=C+E+E+F+E=6+1+1+5+1=14 and A=4,B=2,C=6,D=4,E=1.