Mav is older than Justin. Their ages are consecutive integers. Find Mav's age if the product of their ages is 42.
Let's assume Mav's age is x. Since their ages are consecutive integers, Justin's age would be x+1.
We are given that the product of their ages is 42:
x*(x+1) = 42
Expanding the equation:
x^2 + x = 42
Rearranging the equation:
x^2 + x - 42 = 0
Factoring the quadratic equation:
(x + 7)(x - 6) = 0
Setting each factor equal to zero:
x + 7 = 0 or x - 6 = 0
Solving each equation:
x = -7 or x = 6
Since we cannot have a negative age, Mav's age is 6.