document.write( "Question 114472: The age of Mary and Claire are in the ratio 5:7. Four years later their age will be in the ratio 3:4. Find their ages . please help me with this sum i am kind of getting confused and thanks! \n" ); document.write( "
Algebra.Com's Answer #83321 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The age of Mary and Claire are in the ratio 5:7. Four years later their age will be in the ratio 3:4. Find their ages \n" ); document.write( "------------------- \n" ); document.write( "NOW DATA: \n" ); document.write( "Mary is 5x yrs. old ; Claire is 7x yrs old. \n" ); document.write( "--------------- \n" ); document.write( "4 years later DATA: \n" ); document.write( "Mary is 5x+4 yrs old ; Claire is 7x+4 yrs old \n" ); document.write( "---------------- \n" ); document.write( "EQUATION: \n" ); document.write( "(5x+4)/(7x+4) = 3/4 \n" ); document.write( "Cross-multiply to get: \n" ); document.write( "4(5x+4) = 3(7x+4) \n" ); document.write( "20x+16 = 21x+12 \n" ); document.write( "x = 4 \n" ); document.write( "---------------- \n" ); document.write( "Ages NOW: \n" ); document.write( "Mary = 5x = 20 yrs old \n" ); document.write( "Claire = 7x = 28 yrs old \n" ); document.write( "=========================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |