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Annie has 5 more books than Selina. Selina has three less than twice the number of books as Laura. Annie, Selina, and Laura have 114 books in all..

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2 Answers

# books Annie = x
# books Selina = y
# books Laura = z
 
x= 5 + y
y = 2z - 3
x + y + z = 114
 
SOLVE SIMULTANEOUSLY USING SUBSTITUTION "x = 5 +y" and "y = 2z - 3"
 
2z - y=3--> 4z-2y=6
5+y+y+z=114 --> 2y+z=109
Adding the two equations,
5z+0=115
 
So, z=23
y=43
x=48