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byron is 3 years older than doug. the product of their ages is 40. how old is doug?
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Doug's age is some unknown x. Byron is 3 years older than that so he'd be x+3; multiply these 2 and set them equal to 40. Solve.
Dougs age = x Byron = (x + 3) yrs Multiply the two ages to get 40: x * (x + 3) = 40 x^2 + 3x - 40 = 0 (x+8)(x-5) = 0 Factor: x = -8 or x = 5 The age cannot be negative so he is 5 yrs old
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