Question 33328This question is from textbook Glencoe Geometry
: If J,K, and L each represent a different digit in the multiplication
problem below, what digit does J represent?
37
ﾗ 2J
覧覧
L4K
74
覧覧
88K
This question is from textbook Glencoe Geometry
Found 2 solutions by sarah_adam, AnlytcPhil:
Answer by sarah_adam(201)   (Show Source):
You can put this solution on YOUR website! I just used trial and error way of solving this equation by substituting the values of j = 1,2,3,4
and got the answer for j = 4
37
x24
---
148
74
---
888
---
so j = 4 ; L = 1; K = 8
Answer by AnlytcPhil(1810)  (Show Source):
You can put this solution on YOUR website! 37
ﾗ 2J
覧覧
L4K
74
覧覧
88K
Since 4+4=8, the second 8 in the middle at the
bottom is gotten from adding the two 4's directly
above it, there could not be anything carried to
the column that has the first 8 at the bottom. So
that first column at the bottom addition is L+7=8.
Therefore the only thing L can be is 1. So we
have:
37
ﾗ 2J
覧覧
14K
74
覧覧
88K
Let's try J = 0
37
ﾗ 20
覧覧
140
74
覧覧
880 That's incorrect!
J is not 1 because L is already 1 and J and L
can't be the same number.
So we try J = 2
37
ﾗ 22
覧覧
144
74
覧覧
884 That's incorrect
Try J = 3
37
ﾗ 23
覧覧
141
74
覧覧
881 That's incorrect
Try J = 4
37
ﾗ 24
覧覧
148
74
覧覧
888 That's CORRECT!
So since we started with this:
37
ﾗ 2J
覧覧
L4K
74
覧覧
88K
J = 4, K = 8, and L = 1.
Edwin
AnlytcPhil@aol.com
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