Directions: Using the digits ** 2 to 9** at most one time each, place a digit in each box to make two correct equations: one where the value is greater than 30 and one less than 30. You may reuse all the digits each equation.

### Hint

What digits would be better worse to divide by? What are the greatest values you can make on the division side?

### Answer

There are many possible answers including 3 x 6 = 72 ÷ 4 (which equals 18 on both sides) as well as 7 x 6 = 84 ÷ 2 (which equals 42 on both sides).

Source: Robert Kaplinsky

2×8 = 48/3= 16

5×5 = 50/2 = 25

This doesn’t work because you can only use each digit one time.

Abigail Selim

2 x 7=28/2=14

8 x 9=144/2=72

4×2 = 16/2 = 8

5×5=50/2=25

9×4=72/2=36

9×5=90/2=45

4×4 = 32/2 = 16

9×9 = 162/2 = 81

8×7 = 112/2 = 56

9×2 = 162/9 = 18

6×7= 126/3= 42

12×8= 192/2= 96

10 x 4 = 40 / 5 =8

8×3=48/2=24

74×2=296/2=148

8×8=128/2=64

9×8=216/3=72

7×7=98/2=49

5×1=100/20=5

You may reuse all the digits each equation? Is the multiplication and division expressions considered two different equations?

So can we do 2 x 3 = 42/7

3 x 4 = 72 / 6

answer is 12

6 x 4 = 72 / 3

answer is 24