I just watched someone solve this problem and I don't understand how this person got the answer that she got.

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Hello Amie,

If we call the number of years we are looking forward x, then we can state the problem this way:

Julio's age plus some number of years is double James' age plus the same number of years.

or

36+x=2(11+x)

Then we just have to solve for x.

36+x=2(11+x)

36+x=22+2x distribute

14+x=2x subtract 22 from each side

14=x subtract x from each side

We have that x is 14 years. This makes sense because in 14 year, Julio will be 50 and James will be 25.

Another way of looking at the question (and getting around the algebra) is this: Julio was 25 years old when James was born (36-11=25). So when James hits 25, Julio will be twice his age. James is 11, so that will happen in 14 years.

To check: In 14 years, James will be 11+14 (25). Julio will be 36+14 (50).

Let y represent the number of years that will be added to each age to find their age in the future. You can set up a table if you want.

age now age in future

Julio 36 36+y

james 11 11+y

Now lookat the next sentence and translate that into an equation .

Julio's age is twice James' age.

36+y = 2(11+y)

36+y = 22 + 2y

-y - y

____________________

36 = 22 + y

-22 -22

____________________________

14 = y

Check the answer and make sure you're answering the right question. According to this, in 14 years julio will be twice james age. From our table under future age, Julio will be 50 and james will be 25, so our answer works.

So our answer. is 14 years.

Let x = number of years 11 + x = James' age in the future 36 + x = Julio's age in the future

36 + x = 2(x + 11) because Julio's age will be twice James' age at some amount of time in the future

36 + x = 2x + 22 using the distributive property

14 = x subtract 22 from both sides and subtract x from both sides

Thus, in 14 years, James will be 25 and Julio will be 50, twice James's age.

Let x = the number of years that Julio will be twice James' age. In x years, we want:

2* (James' age) = Julio's Age

2*(11+x) = 36+x

22 + 2x = 36 + x

Solve for x

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