Question 482227
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^2 - 2C = 15(2C - 2) + 30}}}

{{{C^2 - 2C = 30C - 30 + 30}}}

{{{C^2 - 32C = 0}}}


C(C - 32) = 0


Since C cannot be 0, then C - 32 = 0 ------- C, or Chloe is {{{highlight_green(32)}}} years-old.