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 that Mav's age is x years. Since their ages are consecutive integers, Justin's age is x + 1 years.
We are given that the product of their ages is 42, so we can write the equation:
x(x + 1) = 42
Expanding the equation, we get:
x^2 + x = 42
Rearranging the equation, we have:
x^2 + x - 42 = 0
Now, we can factorize the quadratic equation:
(x + 7)(x - 6) = 0
Setting the factors equal to zero, we find two possible solutions:
x + 7 = 0 or x - 6 = 0
Solving for x, we find:
x = -7 or x = 6
Since ages cannot be negative, we can conclude that Mav's age is 6 years.