Question 1150476
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            How about this short solution ?



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Let Lady's age be x years now.

The Romnie's age is (x+10) years.


In 10 years, Lady's age is (x+10) years and Rommie's age is ((x+10)+10) = (x+20) years.


Next, the problem says

    2x*(x+10) = (x+10)*(x+20).


To solve it, first cancel the factor (x+10) in both sides

    2x = x + 20.


Then get the value of x

    x = 20.


Thus Lady is 20 years old now.


<U>ANSWER</U>.  5 years from now Lady will be 25 years old.
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Solved.