Question

Clyde’s age is 8 years more than thrice bonnie’s age. If the product of their ages is 80, how old is Clyde

Answer 1

Answer:

20

Step-by-step explanation:

Let Bonnie's age = b.

Clyde's age is 8 year more than Bonnie's age, so Clyde's age is

3b + 8

The product of the ages is 80, so

b(3b + 8) = 80

3b^2 + 8b = 80

3b^2 + 8b - 80 = 0

(3b + 20)(b - 4) = 0

3b + 20 = 0 or b - 4 = 0

3b = -20 or b = 4

b = -20/3 or b = 4

Discard the negative answer since an age is not a negative number.

Bonnie's age is 4.

Clyde's age is 3 * 4 + 8 = 12 + 8 = 20.

Answer: Clyde's age is 20.