Rs. 5625 are divided among A, B and C such th | vedclass

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(B) Given: $A = \frac{1}{2}(B + C) \Rightarrow B + C = 2A$. Since $A + B + C = 5625$,we substitute $(B + C) = 2A$: $A + 2A = 5625 \Rightarrow 3A = 562

Vedclass · Accepted Answer

$3000$

Vedclass · Answer

(B) Given: $A = \frac{1}{2}(B + C) \Rightarrow B + C = 2A$. Since $A + B + C = 5625$,we substitute $(B + C) = 2A$: $A + 2A = 5625 \Rightarrow 3A = 5625 \Rightarrow A = 1875$. Also given: $B = \frac{1}{4}(A + C) \Rightarrow A + C = 4B$. Since $A + B + C = 5625$,we substitute $(A + C) = 4B$: $4B + B = 5625 \Rightarrow 5B = 5625 \Rightarrow B = 1125$. The sum of $A$'s and $B$'s share is $A + B = 1875 + 1125 = 3000$. Thus,the total share of $A$ and $B$ is $Rs. 3000$.

$Rs. 5625$ are divided among $A, B$ and $C$ such that $A$ receives half as much as $B$ and $C$ together,and $B$ receives one-fourth as much as $A$ and $C$ together. Find the sum of $A$'s and $B$'s share together (in $Rs.$).

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