SOLUTION: Kim is 6 years more than twice Timothy's age. 2 years ago, Kim was three times as old as Timothy. How old was Kim 2 years ago? Please write the equation.

Question 1111039: Kim is 6 years more than twice Timothy's age. 2 years ago, Kim was three times as old as Timothy. How old was Kim 2 years ago? Please write the equation.

Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
To make it simpler,
let's make =Timothy's age now.
As "Kim is 6 years more than twice Timothy's age", Kin's age now is
.

Two years ago,
Timothy's age was ,
and Kim's age as .
If at that time, "Kim was three times as old as Timothy",

In the equation above, we solve for ,
and then we calculate Kim's age 2 years ago as .

Solving:

.

Let's check and see if it makes sense.
means Timothy is 10 years old.
If Kim is 6 years more than twice that, she is .
Two years ago Timothy must have been ,
and Kim must have been , which is three times as old as Timothy.
It checks. All makes sense.
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