Ricardo is 4 years older than his sister rosa,if their ages are added together,the sum is 14. What are the ages of Ricardo and rosa?
if Ricardo's age is x, then
x+(x+4)=14
2x+4=14
x=5
I don't understand it
To solve this problem, we can set up a system of equations. Let's assign variables to represent their ages. Let's say Ricardo's age is 'R', and Rosa's age is 'S'.
1) "Ricardo is 4 years older than his sister Rosa" can be translated into: R = S + 4.
2) "If their ages are added together, the sum is 14" can be translated into: R + S = 14.
Now we have a system of two equations:
Equation 1: R = S + 4
Equation 2: R + S = 14
We can solve this system of equations to find the values of R and S.
From Equation 1, we can substitute R with S + 4 in Equation 2:
(S + 4) + S = 14
Simplify:
2S + 4 = 14
Subtract 4 from both sides:
2S = 10
Divide by 2:
S = 5
Now that we know Rosa's age (S = 5), we can substitute this value back into Equation 1 to find Ricardo's age:
R = S + 4 = 5 + 4 = 9
Therefore, Ricardo is 9 years old and Rosa is 5 years old.