Question

Leans is 4 years younger than Maria.The product is 192 how old is leans and Maria

Answer 1

Solution

Let x represent Maria age

Since, Leans is 4 years younger than Maria

Therefore, Leans is x-4

The product is x(x-4)=192

$\begin{gathered} x^2-4x=192 \\ x^2-4x-192=0 \\ x^2_{}-16x+12x-192=0 \\ x(x-16)+_{}12(x-16)=0 \\ x-16=0 \\ x=16 \\ \text{and} \\ x+12=0 \\ x=-12 \\ \text{Maria is 16 years old} \\ \text{Leans is 12years old} \end{gathered}$

Final answer

Leans is 12years old

Maria is 16years old