Question 1203133
.
An art collector has a porcelain vase that is 15 years old 
and a crystal vase that is 95 years old. 
In how many year will the crystal vase be three times as old 
as the porcelain vase will be {{{highlight(cross(than))}}} <U>then</U>?
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<pre>
Let x be the number of years to pass until the crystal vase be three times as old 
as the porcelain vase will be then  (so, x is the unknown value under the problem's question).


Write an equation as you read the problem

    95 + x = 3*(15+x).


Simplify it and find x

    95 + x = 45 + 3x

    95 - 45 = 3x - x

       50   =    2x

        x   =    50/2 = 25 years.    <U>ANSWER</U>


<U>CHECK</U>.  In 25 years, the age of the porcelain vase will be 15+25 =  40 years;
                     the age of the crystal   vase will be 95+25 = 120 years;
                     120 = 3*40, so the answer is correct.
</pre>

Solved.


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What you really need to learn from my solution, &nbsp;is &nbsp;" to write equation/equations as you read the problem ".


It is a key to your success and to your survival as a student solving word problems.