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Answer:
Sam is 24; his mom is 48.
Step-by-step explanation:
We can let x and y represent Sam's age and his mom's age, respectively.
y = 2x . . . . . Mom is twice Sam's age
y -12 = x + 12 . . . . Mom's age 12 years ago is the same as Sam's age 12 years from now
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Substituting for y in the second equation, we have ...
2x -12 = x + 12
x = 24 . . . . . . . . . add 12-x to both sides
y = 2(24) = 48
Sam is 24; his mom is 48.
