document.write( "Question 357125: If the sum of ages of three friends is 126.The ratio of ages of John and Maria is 4:3 and that of John and Linda is 5:7.Find the age of John? \n" ); document.write( "
Algebra.Com's Answer #255079 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! LET X=JOHN'S AGE \n" ); document.write( "LET Y=MARIA'S AGE \n" ); document.write( "LET Z=LINDA'S AGE. \n" ); document.write( "X/Y=4/3 \n" ); document.write( "4Y=3X \n" ); document.write( "Y=3X/4 \n" ); document.write( "X/Z=5/7 \n" ); document.write( "5Z=7X \n" ); document.write( "Z=7X/5 \n" ); document.write( "X+Y+Z=126 \n" ); document.write( "X+(3X/4)+(7X/5)=126 \n" ); document.write( "(20X+5*3X+4*7X)/4*5=126 \n" ); document.write( "(20X+15X+28X)/20=126 \n" ); document.write( "63X=20*126 \n" ); document.write( "63X=2,250 \n" ); document.write( "X=2,520/63 \n" ); document.write( "X=40 AGE OF JOHN. \n" ); document.write( "4Y=3*40 \n" ); document.write( "4Y=120 \n" ); document.write( "Y=120/40=30 AGE OF MARIA. \n" ); document.write( "5Z=7*40 \n" ); document.write( "5Z=280 \n" ); document.write( "Z=280/5=56 AGE OF LINDA. \n" ); document.write( "PROOF: \n" ); document.write( "40+30+56=126 \n" ); document.write( "126=126 \n" ); document.write( " \n" ); document.write( " |