document.write( "Question 357124: 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 #255034 by ewatrrr(24785) $\"\"$ $\"About$

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document.write( "Hi,
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document.write( "Let x be John's Age, then Maria's age is (3/4)x and Linda's is (7/5)x
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document.write( "according to othe ratios given.  for ex. J/M = 4/3 then 4M = 3J or M =3/4J
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document.write( "the sum of ages of three friends is given as 126
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document.write( "x + (3/4)x + (7/5)x = 126
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document.write( "Multiplying thru with 20 to clear the denominators
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document.write( "20x + 15x + 28x = 126*20
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document.write( "63x = 2520
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document.write( "x = 40 
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document.write( "John is 40 years old
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document.write( "checking our answer
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document.write( "Maria is 30 and Linda is 56
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document.write( "40 + 30 + 56 = 126 \n" );
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