Four years ago the ratio of ages of Chirag and Vanya was 2:3.
Four years hence the ratio of ages of Chirag and Vanya will be 5:7
Find their Present Ages.
Answers
▪Given :-
☆》Four years ago the ratio of ages of Chirag and Vanya was 2:3..
☆》Four years hence the ratio of ages of Chirag and Vanya will be 5:7.
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▪To Find :-
Present ages of Chirag and Vanya.
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▪Solution :-
Let ,
Present age of Chirag = x years
Present age of Vanya = y years
Four years ago ,
Age of Chirag = (x - 4) years
Age of Vanya = (y - 4) years
According to the Given Condition
Four years Hence ,
Age of Chirag = (x + 4) years
Age of Vanya = (y + 4) years
According to the Given Condition ,
Solving Both Equations ,
We Get ,
And ,
So ,
Present age of Chirag = 36 years
And
Present age of Vanya = 52 years.
___________________________
Given :-
Four years ago the ratio of ages of Chirag and Vanya was 2:3.
Four years hence the ratio of ages of Chirag and Vanya will be 5:7
To Find :-
Present ages
Solution :-
Let the age of Chirag be C and Vanya be V
Four years ago
Age of Chirag = C - 4
Age of Vanya = V - 4
C - 4/V - 4 = 2/3
2(V - 4) = 3(C - 4)
2V - 8 = 3C - 12
2V - 3C = 12 - 8
2V - 3C = 4(1)
After 4 years
Age of Chirag = C + 4
Age of Vanya = V + 4
C + 4/V + 4 = 5/7
5(V + 4) = 7(C + 4)
5V + 20 = 7C + 28
5V - 7C = 20 - 28
5V - 7C = -8 (2)
On Solving we get
V = 40 years
And
C = 56 years