1. CANINE COMPUTATION
Rhombus, the smartest dog in the world,
was doodling in his math diary when he came up with three
equations:
A-B=C
D/E=F
G+H=I
He was about to write a fourth equation
using multiplication when an interesting thought occurred
to him. Instead of using a new set of numbers (J, K, L)
for his fourth equation, he would use the answers of the
three existing equations:
C*F=I
Now the only question in his mind was,
"Can I replace the letters A through I with the digits
1 through 9 in such a way that all four of my equations
are correct?"
Answer:
A= 9 B= 5 C= 4 D= 6 E= 3 F= 2 G= 1 H= 7 I= 8
2. MYSTERY MULTIPLICATION
Use each of the digits 1, 2, 3, 4, 5
and 6 once only, in this multiplication problem to make
it correct.
? ?
x ?
----
? ? ?
Answer:
54
x3
----
162
3. EQUATION FRUSTRATION
Arrange the ten digits 0 to 9 in three
different equations, using three of the four operations
of addition, subtraction, multiplication, and division,
and using no signs except the ordinary +, -, x, & ¸ %.
Here is an example to make it clear (note that the example
is not correct because 3 was used twice and 2 was not
used at all):
3 + 4 = 7
9 - 8 = 1 5 X 6 = 30
Answer:
7 + 1 = 8
9 - 6 = 3 4 X 5 = 20