Divide 35 sweets between sudha and tanvy in the ratio 1/2:1/3
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Let the Sudha's and tanvy's share be 1/2x and 1/3x respectively.
According to the question ;
\begin{gathered} \frac{1}{2} x + \frac{1}{3} x = 35 \\ \\ \frac{3x + 2x}{6} = 35 \\ \\ 5x = 35 \times 6 \\ \\ x = \frac{35 \times 6}{5} \\ \\ x = 7 \times 6 \\ \\ x = 42\end{gathered}21x+31x=3563x+2x=355x=35×6x=535×6x=7×6x=42
Now, the Sudha's and tanvy's share:
Sudha's share = 1/2 * 42 = 21
Tanvy's share = 1/3 * 42 = 14
Hence, Sudha's share is 21 and tanvy's share is 14.
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