Question

If x:y=3:2,find(2x+3y):(3x+5y)

Answer 1

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$\underline{SOLUTION}$ ➡

$Given, \\ \\ x : y \ \: = 3: 2 \\ \\ So ,\\ \\ x \: = 3 \: \: and \: \: y = 2$

$Now, \\ \\ \: \: Putting \: \: the \: \: values\: \: of \: x \: \: \: and \: \: \: \\ y \: \: in \: \: \: (2x + 3y) : (3x + 5y) ,\: \: \: We \: \: get, \\ \\ (2x + 3y) : (3x + 5y) \\ \\ = \frac{2x + 3y}{3x + 5y } \\ \\ = \frac{2 \times (3) + 3 \times (2)}{3 \times( 3 )+ 5 \times (2)} \\ \\ = \frac{6 + 6}{9 + 10} \\ \\ = \frac{12}{19} \\ \\ = 12 : 19$

$\underline{ANSWER}$ ➡

$\boxed{ (2x + 3y): (3x + 5y)= 12 : 19}$

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