Question

Gabriel is younger than Moussa. Their ages are consecutive even integers. Find

Gabriel's age if the product of their ages is 120.

Answer 1

Answer: Gabriel is 10 years old.

Explanation:

Let x represent Gabriel's age and x+2 represent Moussa's age.

x(x+2)=120

x^2+2x=120

x^2+2x-120=0

(Factor quadratic equation): (x-10)(x+12)=0

x=10, x=-12 --> (age can't be negative)

Gabriel is 10 years old.