Question

Benjamin's age is 6 years less than twice Lucas's age. If Benjamin is 12 years old, how old is Lucas? Choose the answer below that is a viable solution to this problem.

Answer 1

Answer:  The required age of Luca is 9 years.

Step-by-step explanation:  Given that Benjamin's age is 6 years less than twice Lucas's age and Benjamin is 12 years old.

We are to find Luca's age.

Let x and y represents Luca's age and Benjamin's age respectively.

Then, according to the given information, we have

$y=2x-6~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\y=12~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)$

Substituting the value of y from equation (ii) in (i), we get

$y=2x-6\\\\\Rightarrow 12=2x-6\\\\\Rightarrow 2x=12+6\\\\\Rightarrow 2x=18\\\\\Rightarrow x=\dfrac{18}{2}\\\\\Rightarrow x=9.$

Thus, the required age of Luca is 9 years.