SOLUTION: 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?

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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?
Answer by ewatrrr(24785) About Me  (Show Source):
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Hi,

Let x be John's Age, then Maria's age is (3/4)x and Linda's is (7/5)x

according to othe ratios given.  for ex. J/M = 4/3 then 4M = 3J or M =3/4J

the sum of ages of three friends is given as 126

x + (3/4)x + (7/5)x = 126

Multiplying thru with 20 to clear the denominators

20x + 15x + 28x = 126*20

63x = 2520

x = 40 

John is 40 years old

checking our answer

Maria is 30 and Linda is 56

40 + 30 + 56 = 126