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Three
Children
Answer
:
Marc = 4,
Roland = 5,
Pierrette = 12
AI says
Let's represent the ages of Roland, Marc, and Pierrette using variables.
Let R represent Roland's current age.
Let M represent Marc's current age.
Let P represent Pierrette's current age.
We are given the following information:
1. Pierrette is three times Marc's age: \(P = 3M\).
2. In two years, Pierrette will be twice the age Roland will have at that time: \(P + 2 = 2(R + 2)\) (in two years).
3. Roland is a year older than Marc: \(R = M + 1\).
Now, let's solve these equations to find the ages of the children.
First, substitute the expression for R from equation (3) into equation (2):
3M + 2 = 2((M + 1) + 2
Simplify the equation:
3M + 2 = 2M + 2 + 4
Combine like terms:
3M + 2 = 2M + 6
Subtract 2M from both sides:
M = 4
Now that we know Marc's age (M), we can find the ages of Roland (R) and Pierrette (P) using equations (1) and (3):
R = M + 1 = 4 + 1 = 5
P = 3M = 3(4) = 12
So, Roland is 5 years old,
Marc is 4 years old,
Pierrette is 12 years old. |
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