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.
A:3
B:5
C:7
D:9

Respuesta :

Answer:

Answer is D: 9

Step-by-step explanation:

you would do 2x-6=12

Next: add 6 to both sides: 2X=18

Next: divide both sides by 2

Answer: X=9

Given that Benjamin's age is 6 years less than twice Lucas's age and Benjamin is 12 years old.

find  Luca's age?

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

Then, according to the given information, we have

y = 2x-6⇒1

y=12      ⇒2

Substituting the value of y from equation (2) in (1), we get

y=2x-6

⇒12=2x-6

⇒2x=12+6

⇒2x=18

⇒x=18/2

x=9

Lucas's age is Option D. 9

Thus, the required age for Luca is 9 years.

To learn more about age, refer

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