Veronica is 2 years old than her brother Peter. The sum of their ages is 24. How old is Veronica, and how old is Peter?
So Peter is 11 and Veronica is 13?
Peter' age --- x
Veronica ---- x+2
x + x+2 = 24
take over
To find out the ages of Veronica and Peter, we can break down the information provided. Let's assign variables to each person's age:
Let V represent Veronica's age
Let P represent Peter's age
According to the given information, Veronica is 2 years older than Peter. Therefore, we can say:
V = P + 2
The sum of their ages is given as 24, which can be expressed as:
V + P = 24
Now we have two equations to work with:
Equation 1: V = P + 2
Equation 2: V + P = 24
We can now solve these equations simultaneously to find the values of V and P.
Substitute the value of V from Equation 1 into Equation 2:
(P + 2) + P = 24
Simplify:
2P + 2 = 24
Subtract 2 from both sides of the equation:
2P = 22
Divide both sides of the equation by 2:
P = 11
Now that we know Peter's age is 11, we can substitute this value back into Equation 1 to find Veronica's age:
V = P + 2
V = 11 + 2
V = 13
So, Veronica is 13 years old, and Peter is 11 years old.