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2016-01-15T02:58:10+08:00

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Mother's age: x
Sara's age: x/2  (half of her mother's age)
Sum of their ages = 75

Equation:

x + x/2 = 75

(2)x + (2)x/2 = 75 (2)

2x + x = 150
3x = 150
3x/3 = 150/3
x = 50

Mother's age: x = 50 years old
Sara's age: x/2 = 50/2 = 25 years old  (half of her mother's age)
Sum of their ages:
          50 + 25 = 75
 
ANSWER:  Sara is 25 years old.
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