Practice Quiz

SAT Math

Category - Algebra and Functions

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A mother is 22 years older than her son. Three years ago, she was three times older than her son. How old is the mother?
  1. 25
  2. 28
  3. 30
  4. 33
  5. 36
Explanation
Answer: E - The mother is 36 years old. If the mother’s age is x and the son’s age is y, you can use the following system of equations to solve the problem:.
x − y = 22
x − 3 = 3(y − 3)

x = y + 22
x − 3 = 3y − 9
x = y + 22
x = 3y − 6
y + 22 = 3y − 6
28 = 2y
y = 14
x = y + 22 = 14 + 22 = 36

So, the mother is 36 years old.
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