Question

Arturo is younger than Cai. Their ages are consecutive integers. Find Arturo's age if the product of their ages is 20.

Answer 1

Explanation:

C = A + 1

Now, we are given that the product of their ages is 20, which gives us the equation:

A * C = 20

We can substitute C with A + 1 in the equation:

A * (A + 1) = 20

Now, we'll solve this quadratic equation for A:

A^2 + A = 20

A^2 + A - 20 = 0

Now, we can factor the quadratic equation:

(A + 5)(A - 4) = 0

Setting each factor equal to zero and solving for A:

A + 5 = 0

A = -5

A - 4 = 0

A = 4

Since age cannot be negative, we discard the negative solution, and we have:

A = 4

So, Arturo's age is 4 years old.