Open Middle®
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
You use the same digit more than once.
Rule is use digit from 2 to 9 only one time…
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
1×6=54/9
They both equal 6.
=)
You cannot use 1, if following the guidelines given.
One would be 3 x 9 = 54 / 2 = 27, and another could be 7 x 6 = 84 / 2 =42
7×6=84/2
3×2=54/9
I assume we mean two equal expressions that create one equation… : )
Ah, I just realized that we are looking for two separate equations… perhaps it would be useful to say”one “one where each expression is greater than 30 and one where each expression is less than 30”.
Sorry — ignore the first “one … it’s too late in the evening for me to post, apparently… LOL!
2X9= 54/3= 18
2×9= 54/2=18