Bobs age is 4 times greater than Susanne's age. Dakota is three years younger than susanne. The sum of Bob's, Susanne's, and Dakota's ages is 93. What is than Susanne's age?

Question

8187 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-11-11T14:46:21

Susanne's age is 16

First let's call Susanne's age #S#.

Because Bob is 4 times greater than Susanne's age his age must be #4 xx S#

And because Dakota is three years younger than Susanne her age must be #S - 3#

The sum of all their ages is 93, so adding together the terms we have created gives us:

#S + 4S + (S - 3) = 93#

Now solving for #S# while keeping this equation balanced gives:

#S + 4S + S - 3 = 93#

#6S - 3= 93#

#6S - 3 + 3 = 93 + 3#

#6S = 96#

#(6S)/6 = 96/6#

#S = 16#