Question 846790
Let x = Jeff's current age right now


He is currently x years old


In 3 years, he will be x+3 years old.


Four years ago, he was x-4 years old.


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"In 3 years, Jeff will be twice as old as he was 4 years ago" means that {{{x+3 = 2(x-4)}}}


Solve for x to get...


{{{x+3=2(x-4)}}} Start with the given equation.



{{{x+3=2x-8}}} Distribute.



{{{x=2x-8-3}}} Subtract {{{3}}} from both sides.



{{{x-2x=-8-3}}} Subtract {{{2x}}} from both sides.



{{{-x=-8-3}}} Combine like terms on the left side.



{{{-x=-11}}} Combine like terms on the right side.



{{{x=(-11)/(-1)}}} Divide both sides by {{{-1}}} to isolate {{{x}}}.



{{{x=11}}} Reduce.



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Answer:


So the solution is {{{x=11}}} 


This means that Jeff is currently 11 years old.