SOLUTION: Ricardo is 4 years less than twice as old as his sister. The sum of their ages is 20. How old is Ricardo?

Algebra ->  Equations -> SOLUTION: Ricardo is 4 years less than twice as old as his sister. The sum of their ages is 20. How old is Ricardo?      Log On


   

Question 115205: Ricardo is 4 years less than twice as old as his sister. The sum of their ages is 20. How old is Ricardo?
Answer by HyperBrain(694) About Me  (Show Source):
You can put this solution on YOUR website!
Let x=ricardo's sister's age
2x-4=ricardo's age

IF The sum of their ages is 20,
x%2B%282x-4%29=20
%28x%2B2x%29-4=20
3x-4=20
3x-4%2B4=20%2B4
3x%2B0=24
3x=24
x=8

Thus, ricardo is 8 yrs old