SOLUTION: sylvia is four times as old as kim the difference between their ages is 24 how old is sylvia

Question 1111769: sylvia is four times as old as kim the difference between their ages is 24 how old is sylvia
Answer by duckness73(47) (Show Source): You can put this solution on YOUR website!
Let "s" represent Sylvia's age and "k" represent Kim's age. Since Sylvia is four times as old as Kim, our first equation is s = 4k. We also know that the difference between their ages is 24, so our second equation is s - k = 24.
We now have simultaneous equations:
s = 4k
s - k = 24
In looking at the second equation, if we add k to both sides, we get
s = 24 + k
We can use a substitution for s from the above statement into the first equation, that is:
24 + k = 4k
Subtracting k from both sides, we get:
24 = 3k
Dividing both sides by 3, we get:
8 = k that is, Kim is 8 years old.
If Kim is 8 years old, and Sylvia is 4 times as old as Kim, then
s = 4 * 8 = 32
So, Sylvia is 32 years old.
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