Question 193743
Dorothy is 6 years older than Ricardo. The product of their present ages is twice what the product of their ages was 6 years ago. how old is Dorothy?
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NOW DATA:
Ricardo's age is x ; Dorothy's age is x+6
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6 Yrs. ago DATA:
Ricardo was x-6 ; Dorothy was x
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Equation:
x(x+6) = 2(x(x-6))
x^2 + 6x = 2(x^2-6x)
x^2 + 6x = 2x^2 -12x
x^2 -18x = 0
x(x-18) = 0
x = 0 or x = 18
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Realistic answer: x = 18 (Ricardo's age NOW)
x+6 = 24 (Dorothy's age NOW)
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Cheers,
Stan H.