SOLUTION: Three times the age of Felicia is four more than the age of Asare.. In three years, the sum of their ages will be 30 years.. Find their present ages..

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Question 1039420: Three times the age of Felicia is four more than the age of Asare.. In three years, the sum of their ages will be 30 years.. Find their present ages..
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
Three times the age of Felicia is four more than the age of Asare... 
3F = A+4

In three years,...
In three years Felicia will be F+3
In three years Asare will be A+3

...the sum of their ages will be 30 years...
F+3 + A+3 = 30

Find their present ages..
Simplify, then solve this system of equations
by substitution:

system%283F+=+A%2B4%2CF%2B3+%2B+A%2B3+=+30%29

Simplify

system%283F+=+A%2B4%2C+F%2B6%2BA=30%29

system%283F+=+A%2B4%2C+F%2BA=24%29

Solve the second equation for A

system%283F+=+A%2B4%2C+A=24-F%29

Substitute 24-F for A in the first equation

3F=24-F%2B4

Combine like terms on the right

3F=28-F

Add F to both sides:

4F=28

F=7

Substitute 7 for F in

A=24-F

A=24-7

A=17

Edwin