Question

And, S2

inutes)
In the table shown, the sum of each row is shown to the right of the row and the sum of each column is
shown below the column.
tion 1
tion 2
K
J
tion 3
J
K
5
13
tion 4
tion 5
K
J
L
L
tion 6
L
15
tion 7
tion 8
11
7
15
tion 9
tion 10
tion 11
What is the value of L?
tion 12
tion 13

Answer 1

Correct Question

In the table shown, the sum of each row is shown to the right of the row and the sum of each column is shown below the column. What is the value of L?

`\left|\begin{array}c-&-&-&-\\J&K&J&5\\K&K&L&13\\L&J&L&15\\-&-&-&-\\11&7&15\end{array}\right`

Answer:

L=7

Explanation:

From the first row: 2J+K=5

Therefore: K=5-2J

From the second column, 2K+J=7

Substitute K derived above into 2K+J=7

2K+J=7

2(5-2J)+J=7

10-4J+J=7

-3J=7-10

-3J=-3

J=1

Recall: K=5-2J

K=5-2(1)=3

K=3

From the third column, J+2L=15

1+2L=15

2L=15-1=14

L=7

Therefore, the value of L=7

CHECK:

`\left|\begin{array}c-&-&-&-\\1&3&1&5\\3&3&7&13\\7&1&7&15\\-&-&-&-\\11&7&15\end{array}\right`