Question 1191480
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Henry and Imran had the same number of playing cards. 
Henry gave away 4/5 of his playing cards while Imran gave away 5/7 of his playing cards. 
Given that Henry gave away 12 playing cards more than Imran, 
how many playing cards did Henry have at first?
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<pre>
Let x = # of Henry's playing cards = # of Imran playing cards.


After giving away, we have this equation

    {{{(4/5)x}}} - {{{(5/7)x}}} = 12


To solve it, multiply both sides by 35.  You will get

    28x - 25x = 12*35

       3x     = 12*35

        x     =  4*35 = 140.


<U>ANSWER</U>.  Henry had 140 playing cards at first.
</pre>

Solved.