document.write( "Question 889306: The age of A is twice that of B.8 years hence their ages will be in the ratio 5:3.Find their present ages?
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Algebra.Com's Answer #538130 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The age of A is twice that of B. \n" ); document.write( "a = 2b \n" ); document.write( ": \n" ); document.write( "8 years hence their ages will be in the ratio 5:3. \n" ); document.write( " \n" ); document.write( "Cross multiply \n" ); document.write( "3(a+8) = 5(b+8) \n" ); document.write( "3a + 24 = 5b + 40 \n" ); document.write( "3a = 5b + 40 - 24 \n" ); document.write( "3a = 5b + 16 \n" ); document.write( "replace a with 2b, (from the 1st statement) \n" ); document.write( "3(2b) = 5b + 16 \n" ); document.write( "6b - 5b = 16 \n" ); document.write( "b = 16 is B's age \n" ); document.write( ": \n" ); document.write( "I'll let you find A's age, check your solution in the 2nd statement \n" ); document.write( " \n" ); document.write( " |