document.write( "Question 1176896: Hi
\n" ); document.write( "A and B had some cards. After A lost 68 cards to B the ratio of cards that A and B had were 3:8 respectively. When B lost 126 cards to A the ratio of cards that A and B had were 2:3 respectively.
\n" ); document.write( "How many cards did A have at first.
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\n" ); document.write( "Hi
\n" ); document.write( "A and B had some cards. After A lost 68 cards to B the ratio of cards that A and B had were 3:8 respectively. When B lost 126 cards to A the ratio of cards that A and B had were 2:3 respectively.
\n" ); document.write( "How many cards did A have at first.
\n" ); document.write( "Thanks
\n" ); document.write( "

Let original number A and B had, be A and B, respectively
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document.write( "After A lost 68 cards to B, A had A - 68 remaining, and B then had, B + 68
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document.write( "We then get:      
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document.write( "16A - 6B = 1,496 ---- Multiplying eq (i) by 2 ---- eq (iii)
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document.write( " 9A - 6B = - 870 ---- Multiplying eq (ii) by 3 --- eq (iv)
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document.write( "      7A = 2,366 -------- Subtracting eq (iv) from eq (iii)
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document.write( "Original number A had, or  \n" );
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