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?

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?
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
LET X=JOHN'S AGE
LET Y=MARIA'S AGE
LET Z=LINDA'S AGE.
X/Y=4/3
4Y=3X
Y=3X/4
X/Z=5/7
5Z=7X
Z=7X/5
X+Y+Z=126
X+(3X/4)+(7X/5)=126
(20X+5*3X+4*7X)/4*5=126
(20X+15X+28X)/20=126
63X=20*126
63X=2,250
X=2,520/63
X=40 AGE OF JOHN.
4Y=3*40
4Y=120
Y=120/40=30 AGE OF MARIA.
5Z=7*40
5Z=280
Z=280/5=56 AGE OF LINDA.
PROOF:
40+30+56=126
126=126

RELATED QUESTIONS
If the sum of ages of three friends is 126.The ratio of ages of John and Maria is 4:3 and (answered by ewatrrr)

maria is 12 years old the sum of the ages of maria and john is 60 how old is... (answered by Cromlix)

the ages of john, James and peace are consecutive integer. the sum of their ages is 126.... (answered by stanbon)

John is 5 years more than three times the age of Jane. If the sum of their ages is 25,... (answered by ewatrrr)

The sum of ages of john and mark is 29 years.john is 3 years older than mark.how old is... (answered by macston)

John is three times as old as Mary and the sum of their ages is 24. find their... (answered by stanbon)

the sum of john and harry's ages is 19 years. if the difference of their ages is 5... (answered by mananth,ewatrrr)

Alfredo is 5 years older than john and Maria is 4 years younger than john. If the of... (answered by ankor@dixie-net.com,Edwin McCravy)

The ratio of the ages of John and Janet is 3:4. In four years time the ratio of their... (answered by Maths68)