Question

Find the value of the variable and LN if M is between L and N.

LM=8a,MN=7a,LM=56LM=8a,MN=7a,LM=56

Select one:

a. a = 3.73, LN = 29.87

b. a = 7, LN = 105

c. a = 8, LN = 120

d. a = 7, LN = 49

Answer 1

This is the concept of algebra, we are required to find the value of the variable a, given that M lies between L and N.
LM=8a=56
Therefore solving the above we get:
8a=56
dividing both sides by 8 we get:
(8a)/8=56/8
a=7
Given that MN=7a
Then;
MN=7*7=49
Thus
LN=56+49=105
Thus;
a=7 and LN=105