Ricky is 5 years older than Sara. Three years ago he was twice her age. How old is Ricky? Thanks for the help!
r=s+5
r-3 = 2(s-3)
(r,s)=(13,8)
Sarah is 8, Ricky is 13
age now age 3 yrs ago
Sara x x - 3
ricky x + 5 (x+5)-3
so (x+5-3)= 2*(x-3)
x+2=2x-6
x=8
Let's solve this step-by-step:
1. Let's assume Sara's current age is 's'.
2. Since Ricky is 5 years older than Sara, Ricky's current age is 's + 5'.
3. Three years ago, Sara's age was 's - 3', and Ricky's age was '(s + 5) - 3'.
4. According to the problem, three years ago, Ricky was twice Sara's age, so we can write the equation: '(s + 5) - 3 = 2 * (s - 3)'.
5. Let's solve the equation: 's + 2 = 2s - 6'.
6. Subtract 's' from both sides, 's + 2 - s = 2s - s - 6' simplifies to '2 = s - 6'.
7. Add 6 to both sides, '2 + 6 = s - 6 + 6' simplifies to '8 = s'.
8. Therefore, Sara's current age is 8 years old.
9. Ricky's current age is 's + 5', so Ricky is currently 13 years old.
So, Ricky is currently 13 years old.
To find out Ricky's age, we can set up an equation using the given information.
Let's assume Sara's age is x.
According to the question, Ricky is 5 years older than Sara, so Ricky's age would be x + 5.
Three years ago, Ricky's age would have been (x + 5) - 3, and Sara's age would have been x - 3.
According to the question, three years ago Ricky was twice Sara's age. So, we can set up the equation:
(x + 5) - 3 = 2(x - 3)
Now we can solve this equation to find the value of x, which represents Sara's current age. Then we can calculate Ricky's age by adding 5 to Sara's age.
Let's simplify the equation:
x + 2 = 2x - 6
Rearrange the equation:
2 = x - 6
Add 6 to both sides:
8 = x
So, Sara's age (x) is 8 years old.
To find Ricky's age, we add 5 to Sara's age:
Ricky's age = 8 + 5 = 13.
Therefore, Ricky is 13 years old.