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Goats
Answer
: 5
and 7 goats
AI says
Let's denote the number of goats Anne has as (A) and the number of goats Michel has as (M).
According to Michel, if Anne gives him one goat, he will have double
what Anne has remaining. Mathematically, this can be expressed as:
M + 1 = 2 (A - 1)
Similarly, according to Anne, if Michel gives her one goat, they will have the same number of goats:
A + 1 = M - 1
Now, we can solve these two equations simultaneously to find the values of (A) and (M).
Equation 1: M + 1 = 2 (A - 1)
Equation 2: A + 1 = M - 1
Let's solve them:
From Equation 2, we can express (M) in terms of (A):
M = A + 2
Now substitute this into Equation 1:
A + 2 + 1 = 2 (A - 1)
Simplify the equation:
A + 3 = 2A - 2
Subtract (A) from both sides:
3 = A - 2
Add 2 to both sides:
A = 5
Now that we know (A), we can find (M) using Equation 2:
M = A + 2 = 5 + 2 = 7
So, Anne has 5 goats, and Michel has 7 goats.
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