Question

x/5 =y/3तर 3x+5y kiti​

Answer 1

SOLUTION

TO FILL IN THE BLANK

$\displaystyle \sf{ \frac{x}{5} = \frac{y}{3} = \frac{3x + 5y}{?} }$

FORMULA TO BE IMPLEMENTED

RULE OF ADDENDO

$\displaystyle \sf{ \frac{a}{b} = \frac{c}{d} = \frac{ma + nc}{mb + nd} }$

EVALUATION

$\displaystyle \sf{ \frac{x}{5} = \frac{y}{3} = \frac{3x + 5y}{?} }$

Now

$\displaystyle \sf{ \: \frac{x}{5} = \frac{y}{3} }$

$\displaystyle \sf{ \implies \: \frac{x}{5} = \frac{y}{3} = \frac{3x + 5y}{(3 \times 5) + (5 \times 3)} } \: \: \: (By \: Rule \: of \: Addendo \: )$

$\displaystyle \sf{ \implies \: \frac{x}{5} = \frac{y}{3} = \frac{3x + 5y}{15 + 15} }$

$\displaystyle \sf{ \implies \: \frac{x}{5} = \frac{y}{3} = \frac{3x + 5y}{30} }$

FINAL ANSWER

$\displaystyle \sf{ \frac{x}{5} = \frac{y}{3} = \frac{3x + 5y}{ \boxed{ \: 30 \: }} }$

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