SOLUTION: Chloe is 2 years older than his husband damon. if the product of their ages is 30 more than 15 times the sum of their ages. how old is chloe

Question 482227: Chloe is 2 years older than his husband damon. if the product of their ages is 30 more than 15 times the sum of their ages. how old is chloe

Found 2 solutions by emargo19, MathTherapy:
Answer by emargo19(101) (Show Source): You can put this solution on YOUR website!
Chole�s age = c
Husband�s age = h
Product of their ages = c*h
Sum of their ages = c+h
15 times the sum of their ages = 15 (c+h)
Chole two years older than her husband so if we add 2 years to the husband�s age both will be the same age
c=h+2 ��.(1)
the product of their ages is thirty more than fifteen times the sum of their ages
c*h=30+15(c+h)��..(2)
Put the value of c from (1) to (2)
(h+2)*h=30+15[(h+2)+h]
h^2+2h=30+15h+30+15h
h^2+2h=60+30h
h^2+2h-60-30h=0
h^2-28h-60=0
h^2-30h+2h-60=0
h(h-30)-2(h-30)=0
(h+2)(h-30)
h=-2 h=30
h=-2 impossible
so h=30
Husband is 30 years old
And
Chole is 32

Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!
Let Chloe's age be C
Then her husband's age is C - 2

Since the product of their ages is 30 more than 15 times the sum of their ages, then we can say that:

C(C - 2) = 15(C + C - 2) + 30

C(C - 32) = 0

Since C cannot be 0, then C - 32 = 0 ------- C, or Chloe is years-old.
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