SOLUTION: Pam is 14 and her dad is 37. In how many years will Pam's dad be twice as old as she will be? Equation: Answer:

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Question 1201635: Pam is 14 and her dad is 37. In how many
years will Pam's dad be twice as old as
she will be?
Equation:
Answer:
Found 2 solutions by math_tutor2020, ikleyn:
Answer by math_tutor2020(3817)   (Show Source): You can put this solution on YOUR website!

x = number of years
14 = pam's current age
14+x = pam's future age
37 = her dad's current age
37+x = her dad's future age

We're looking to see when her dad will be exactly twice as old as she will be.

her dad's future age = 2*(pam's future age)
37+x = 2*(14+x)
37+x = 28+2x
x-2x = 28-37
-x = -9
x = 9
In 9 years, her dad will be twice her age.

Pam: 14+x = 14+9 = 23
her dad: 37+x = 37+9 = 46
46/23 = 2 shows that he will be twice her age by this point, and the answer is confirmed.

Equation: 37+x = 2(14+x)
Answer: 9 years
Answer by ikleyn(52798)   (Show Source): You can put this solution on YOUR website!
.
Pam is 14 and her dad is 37. In how many
years will Pam's dad be twice as old as
she will be?
Equation:
Answer:
~~~~~~~~~~~~~~~~ 

Equation:  2*(14+x) = 37+x.  (x represents the years from now)


ANSWER.  x = 37 - 2*14 = 37 - 28 = 9.  In 9 years.


CHECK.  In 9 years, the younger person will be 14+9 = 23 years old;
                    the older   person will be 37+9 = 46 years old.

                    The ratio    is then   = 2.  Correct.

Solved.

------------------

Hello, your request is presented in a way, as if the detailes of the solution are not interesting to you.

So, I wrote my response adequately.




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