Question 823860
You are correct. It is 12. Here's why



Age 2 yrs in future = 2*(age in past 5 years ago)



So the equation is {{{x+2=2(x-5)}}} and solving for it gives you...



{{{x+2=2(x-5)}}} Start with the given equation.



{{{x+2=2x-10}}} Distribute.



{{{x=2x-10-2}}} Subtract {{{2}}} from both sides.



{{{x-2x=-10-2}}} Subtract {{{2x}}} from both sides.



{{{-x=-10-2}}} Combine like terms on the left side.



{{{-x=-12}}} Combine like terms on the right side.



{{{x=(-12)/(-1)}}} Divide both sides by {{{-1}}} to isolate {{{x}}}.



{{{x=12}}} Reduce.



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Answer:


So the solution is {{{x=12}}}