The johnson twins were born five years after their older sister. this year, the product of the three siblings' ages is exactly 2998 more than the sum of their ages. how old are the twins?

13 years

Step-by-step explanation:

Let x years be the age of each twins this year, then x+5 years is the age of their older sister this year.

The product of the ages of three sibling is

The sum of their ages is

Since the product of the three siblings' ages is exactly 2998 more than the sum of their ages, we have

The divisors of 3,003 are

and so on.

Check positive (the age cannot be negative) numbers to be equation's solutions:

So,

The quadratic equation has no real solutions, because its discriminant

So, the twins are 13 years old (and the sister is 18 years old)