Harsha is 40 years old and Ritu is 60 years old. How many years ago was the ratio of their ages is 3 : 5 ?
A. 10 years
B. 20 years
C. 37 years
D. 5 years
Answer: Option A
Solution(By Examveda Team)
$$\eqalign{ & {\text{Harsha = 40}} \cr & {\text{Ritu = 60}} \cr & \frac{{{\text{Harsha}}}}{{{\text{Ritu}}}} = \frac{{40}}{{60}} \cr} $$∴ Let x years ago their ages ratio was 3 : 5
$$\eqalign{ & \Rightarrow \frac{{40 - x}}{{60 - x}} = \frac{3}{5} \cr & \Rightarrow 200 - 5x = 180 - 3x \cr & \Rightarrow 2x = 20 \cr & \Rightarrow x = 10 \cr} $$
Related Questions on Ratio
If a : b : c = 3 : 4 : 7, then the ratio (a + b + c) : c is equal to
A. 2 : 1
B. 14 : 3
C. 7 : 2
D. 1 : 2
If $$\frac{2}{3}$$ of A=75% of B = 0.6 of C, then A : B : C is
A. 2 : 3 : 3
B. 3 : 4 : 5
C. 4 : 5 : 6
D. 9 : 8 : 10
Join The Discussion