SOLUTION: I need to create a linear equation that shows how old I will be when I am 3 times my daughters age. Currently, I am 45 to her 11 and I was 34 when she was born. For some reason thi

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Question 646132: I need to create a linear equation that shows how old I will be when I am 3 times my daughters age. Currently, I am 45 to her 11 and I was 34 when she was born. For some reason this math escapes me and if possible I would like each step explained so that I will be able to do the next one without help (high expectations on my part). I appreciate any help that you can offer.
Lisa
Found 2 solutions by Edwin McCravy, MathTherapy:
Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!
You will always be 34 years older than your daughter.  When she is X,
you will be 34+X.  You want to know when your age, 34+X, will be equal
to 3 times her age, X, which will be 3X

So the equation is

        Your age = 3(her age)
          34 + X = 3(X)
          34 + X = 3X
             - X   -X
         -------------
          34     = 2X
              17 = X

When she is 17, you will be 34 years older than that or 17+34 = 51
and 3·17 = 51.

Edwin
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

I need to create a linear equation that shows how old I will be when I am 3 times my daughters age. Currently, I am 45 to her 11 and I was 34 when she was born. For some reason this math escapes me and if possible I would like each step explained so that I will be able to do the next one without help (high expectations on my part). I appreciate any help that you can offer.
Lisa

Let the age that you will be when you're 3 times your daughter's age be A.
Since you're currently 45 and she's currently 11, a 34-year age difference exists. This means that your daughter will always be 34 years younger than you, which also means that when you're A years-old, she will be (A - 34) years-old.

This means that the age that you will be when you're 3 times your daughter's age, equals 3 times your daughter's age then, or algebraically:

A = 3(A - 34)
A = 3A - 102
A - 3A = - 102
- 2A = - 102

A, or age that you will be when you're 3 times your daughter's age = , or

======
Check
======

Your age then (51) will be 3 times your daughter's age then (A - 34, or 51 - 34, or 17)

51 = 3(17)

51 = 51 (TRUE)

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