The ratio of the present ages of Sita and Git | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) Let the present ages of Sita and Gita be $4x$ and $3x$ years respectively.According to the problem,$4$ years ago,their ages were $(4x - 4)$ and $(

Vedclass · Accepted Answer

$8$

Vedclass · Answer

(A) Let the present ages of Sita and Gita be $4x$ and $3x$ years respectively.According to the problem,$4$ years ago,their ages were $(4x - 4)$ and $(3x - 4)$ respectively.The ratio of their ages $4$ years ago was $2:1$.So,$\frac{4x - 4}{3x - 4} = \frac{2}{1}$.Cross-multiplying,we get: $4x - 4 = 2(3x - 4)$.$4x - 4 = 6x - 8$.Rearranging the terms: $8 - 4 = 6x - 4x$.$4 = 2x$,which implies $x = 2$.The present age of Sita is $4x = 4 	imes 2 = 8$ years.

The ratio of the present ages of Sita and Gita is $4:3$. If $4$ years ago,the ratio of their ages was $2:1$,the present age of Sita is (in years):

Similar Questions

Three numbers are in the ratio $\frac{1}{2}: \frac{2}{3}: \frac{3}{4}$. The difference between the greatest and the smallest numbers is $36$. The numbers are:

₹ $1050$ are divided among $A, B$ and $C$ in such a way that the share of $A$ is $\frac{2}{5}$ of the combined share of $B$ and $C$. $A$ will get (in ₹):

The ratio of two numbers is $10: 7$ and their difference is $105$. The sum of these numbers is

If $78$ is divided into three parts which are in the ratio of $1: \frac{1}{3}: \frac{1}{6},$ the middle part is

Hitesh is $40$ years old and Ronnie is $60$ years old. How many years ago was the ratio of their ages $3:5$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module