Question

Rocco has a garden and an oak tree. The oak tree is 11 times as old as the garden. The sum of their ages is 108 years. How old is each the garden and tree?

Answer 1

The garden is 9 years old and the oak tree is 99 years old.

Step-by-step explanation:

Let's assume the age of the garden is x years.

The oak tree is 11 times as old as the garden, so its age is 11x years.

The sum of their ages is 108 years, so we can write the equation: x + 11x = 108.

Combining like terms, we have 12x = 108.

Dividing both sides of the equation by 12, we find that x = 9.

Thus, the garden is 9 years old and the oak tree is 11 times that, which is 99 years old.