Question 992329: Sam is 21 years younger than Angela. 10 years ago, Angela's age was 2 times Sam's age. How old is Sam now?
A) Translate the given information into an equation using the variable x = current age of Sam. Your equation should tell the story of the problem to someone reading it. That means your equation should contain 21, 10, and 2. Since you will be comparing the ages of Sam and Angela 10 years ago, 10 should appear once on each side of the equation. Do not simplify your equation.
B) How old is Sam currently?
Sam is years old.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Sam is 21 years younger than Angela. 10 years ago, Angela's age was 2 times Sam's age. How old is Sam now?
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S = A -21
A-10 = 2(S-10)
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Substitute for "S" and solve for "A"::
A - 10 = 2(A-21-10)
A - 10 = 2(A-31)
A - 10 = 2A - 62
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A = 52 yrs (Angela's age now)
S = A-21 = 31 yrs (Sam's age now)
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Cheers,
Stan H.
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