Question

The Johnson Twins were born 5 years after their older sister. This year, the product of the 3 siblings' age is exactly 3677 than the sum of their ages. How old are the twins?

Answer 1

To find the age of the twins, we can set up an equation using the information given and solve for their ages.

Step-by-step explanation:

Lets assume the age of the older sister is x.

The Johnson Twins, being born 5 years after their older sister, would have an age of (x - 5).

The product of their ages, when multiplied, equals the sum of their ages plus 3677. This can be written as: x(x - 5) = 3x + 3677.

Expanding and rearranging the equation, we get: x2 - 8x - 3677 = 0.

By factoring or using the quadratic formula, we can solve for x and find the age of the older sister. Then, we can calculate the age of the twins by subtracting 5 from x.

For example, if we solve the quadratic equation and find that x = 37, then the age of the twins would be 37 - 5 = 32 years old.