SOLUTION: The ratio of the ages of Rajesh to that of Ramesh is 5 : 8. After 10 years the new ratio of their ages will be 7 : 10. What is the age of Ramesh at present?

Question 695458: The ratio of the ages of Rajesh to that of Ramesh is 5 : 8. After 10 years the new ratio of their ages will be 7 : 10. What is the age of Ramesh at present?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
The ratio of the ages of Rajesh to that of Ramesh is 5 : 8. After 10 years the new ratio of their ages will be 7 : 10. What is the age of Ramesh at present?
**
let y=Rajesh's present age
let x=Ramesh's present age
y/x=5/8
y=5x/8
..
After 10 years:
y+10=Rajesh's age
x+10=Ramesh's age
(y+10)/(x+10)=7/10
7x+70=10y+100
7x+70=10(5x/8)+100
7x+50x/8=30
56x+50x=240
6x=240
x=40
Ramesh's present age=40

RELATED QUESTIONS
Ages of a father and his son are in the ratio 10:3.Eoght years after their ages will be... (answered by josgarithmetic)

The ratio of ages of 2 persons A and B is 3:5.The sum of their ages is 80. After 10... (answered by jsmallt9)

The total ages of a father and son now is 50 years .after 10 years their ages will be in... (answered by richwmiller)

The ages of two friends is in the ratio 6:5. The sum of their ages is 66.After how many... (answered by ankor@dixie-net.com)

The ages of Ravi and Raja are in the ratio 5:12. After 6 years the ratio of their ages... (answered by Edwin McCravy)

the ratio of age of two boys is 5:6. After two years the ratio will be 7:8. The ratio of... (answered by stanbon)

The ages of two friends is in the ratio 5:6. After how many years will the ages be in the (answered by Fombitz)

AGES OF FATHER AND HIS SON ARE IN RATIO OF 10:3 EIGHT YEARS AFTER THEIR AGES WOULD BE IN... (answered by ankor@dixie-net.com)