SOLUTION: the product of man's age five ago and his age nine year later is 15.determine man's present age

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Question 935494: the product of man's age five ago and his age nine year later is 15.determine man's present age
Found 3 solutions by josgarithmetic, Horlaye, MathTherapy:
Answer by josgarithmetic(39620) About Me  (Show Source):
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n, man's age.
%28n-5%29%28n-5%2B9%29=15, depending on what is means by "nine years later". As understood more simply as symbolized, %28n-5%29%28n%2B4%29=15
n%5E2-n%2B20-15=0
n%5E2-n%2B5=0
The discriminant for that is %281%29-4%2A5=-19 which is meaningless to the question.

The proper interpretation must be %28n-5%29%28n%2B9%29=15.
n%5E2%2B4n-40-15=0
n%5E2%2B4n-55=0
Seems not factorable.
n=%28-4%2B-+sqrt%2816%2B4%2A55%29%29%2F2
n=%28-4%2Bsqrt%28236%29%29%2F2
n=%28-4%2B2%2Asqrt%2859%29%29%2F2
highlight%28n=-2%2Bsqrt%2859%29%29, seems strange for an academic algebra exercise.
n is about 3.68

Possibly I made a mistake. 3.68 would not be any MAN'S age.

Answer by Horlaye(27) About Me  (Show Source):
You can put this solution on YOUR website!
Let y represent the man's age
The proper translation is (y-5)*(y+9)=15
y² + 9y - 5y - 45 = 15
y² + 4y - 45 - 15 = 0
y² + 4y - 60 = 0
Factorise the equation
y² - 6y + 10y -60 = 0
y(y-6) 10(y-6) = 0
(y-6) (y+10) = 0
Expansiate the equation
y-6 = 0 or y+10 = 0
y = 6 or. y = -10
Since one's age can't have negative sign
Therefore the man's present age = y = 6

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!
the product of man's age five ago and his age nine year later is 15.determine man's present age
Who writes these math problems, or is this one made up by some individual? Where I'm from,
a 6 year-old is considered a boy, not a man. Better yet, a male is a more appropriate title.
Anyway, the boy's (not man's) current age is highlight_green%286%29
You can do the check!!
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