Question

1. Kim's age is twice that of her sister. When you add Kim's age to her sister's age, you get 36. How old is each sister?
(a) Write an equation that represents the situation. Explain any variable used.
(b) Solve the equation from Part (a). Show your work. State your solution as a complete sentence.
Answer:

Answer 1

something times 2 plus itself equals 36.

2 times 12 = 24
24 plus 12 = 36

2 x 12 +12 =36
or
36 divided by 3 
or
12x = 36
by dividing 12 into 36, x =3


Because 36 is a whole and even number, Kim's sister's age should be even as well. The age would be multiply itself 3 times. So Kim's sister is 12 yr old, and Kim's age is 24 years old.