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

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(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):

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