# 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?

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?

J+K+J=5
K+K+L=13
L+J+L=15
J+K+L=11
K+K+J=7
J+L+L=15

So
K+K+L=13 ⇒ K+K=13-L (I)
K+K+J=7 ⇒ K+K=7-J (II)

(I) = (II)
13-L = 7-J
6 = L-J
J = L-6

L+J+L=15
2L + (L-6)=15
3L-6=15
3L=21
L=7