Question

Pam is 14 and her dad is 37 in how many years will pam’s dad be twice as old as she will be

Answer 1

It will take 9 years

Explanation:

Let x = number of years

you're adding x to each age to get

Pams age after x years: 14+x

Dad's age after x years: 37+x

Since the question is "In how many years will pans dad be twice as old as she will be?", this means that the equation is then

2(14+x)=37+x

Now solve for x

2(14+x)=37+x

28+2x=37+x

2x=37+x-28

2x-x=37-28

x=37-28

x=9

So the solution is x=9

This means that it will take 9 years.

Answer 2

Explanation:

Let the number of years = x

2(x + 14) = 37 + x Remove the brackets.

2x + 28 = x + 37 Subtract x from both sides

2x - x + 28 = x - x + 37 Combine

x + 28 = 37 Subtract 28 from both sides.

x + 28 - 28 = 37 - 28 Combine

x = 9

Check

2(9 + 14) = 2*23 = 46

x + 37 = 9 + 37 = 46

When Pam is 23 her father will be 46 which is twice as old as she is.