Question

Today the ratio of the ages of Ram and Shyam is 4:3 . Six years hence, Ram's age will be 34 years . How old is Shyam today?

Answer 1

$\texttt{Let the Present Age of Ram be : R}$

$\texttt{Let the Present Age of Shyam be : S}$

$\texttt{The Ratio of the ages of Ram and Shyam is 4:3}$

$\mathtt{\implies \dfrac{R}{S} = \dfrac{4}{3}\;----\;(1)}$

$\texttt{6 years hence, Ram's age will be 34 years}$

$\mathtt{\implies R + 6 = 34}$

$\mathtt{\implies R = 28}$

$\texttt{Substituting R = 28 in Equation (1)}$

$\mathtt{\implies \dfrac{28}{S} = \dfrac{4}{3}}$

$\mathtt{\implies \dfrac{7}{S} = \dfrac{1}{3}}$

$\mathtt{\implies S = 7\times3}$

$\mathtt{\implies S = 21}$

$\mathtt{\implies Present\;Age\;of\;Shyam\;is\;21}$