Question

The Johnson twins were born six years after their older sister. This year, the product of the three siblings ages is exactly 3166 more than the sum of their ages. How old are the twins?

Answer 1

The age of the twins is 13 years old.

System of equations

These are equations that consists of unknown variables and equations.

Let the age of Johnson twins be x

Let the age of their older sister be y

If the Johnson twins were born six years after their older sister, then;

x = y + 6

If this year, the product of the three siblings ages is exactly 3166 more than the sum of their ages, then;

xy = x+y+3166

Substitute the first equation into the second

x * x * (x+6) = x + x + (x+6) + 3166

x² * (x+6) = 3x + 3172

x³ + 6x² = 3x + 3172

x³ + 6x² - 3x - 3172 = 0

x = 13

Therefore the age of the twins is 13 years old.

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