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The sum of Mary's age and her mother's age is 36 Mary's mother is five times older than Mary How old is each person?
If we assign each person Mary and her mother a variable to represent each, we will have 2 variables with 2 unknowns. Let's make Mary = X and her mother = Y.
The sum of Mary's age and her mother's age is 36, therefore sum of X + Y = 36.
Mary's mother is five times older than Mary, therefore 5X = Y.
X+Y=36
5X=Y
Substituting 5X for Y yields, X+5X=36
Solve for X yields 6X=36 or 6X/6 = 36/6, so X = 6
Solving for Y, 5X=Y or 5(6)=Y, so Y=30
Mary is 6 and her mother is 30.
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