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Let L be the age of Leah, J as the age of John, and S as the age of Sue.

Equation 1: S = L - 6

Equation 2: J = L + 5

Equation 3: L + J = 41

Using Equation 3 to get Leah's age:

L + J = 41

L + (L + 5) = 41

2L = 41 - 5

L = 18

Using Equation 2 and substituting L to get John's age:

J = L + 5

J = 18 + 5

J = 23

Check using Equation 3, substituting L and J:

L + J = 41

18 + 23 = 41

Using Equation 1 , substituting L to get Sue's age.

S = L - 6

S = 18 - 6

S = 12

Sue is 12 years old.

Leah is 18 years old.

John is 23 years old.

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