Math, asked by arpitanayak4684, 6 months ago

Find the value of x in each of the given proportions 65:x =13:6

Answers

Answered by Anonymous
21

Question:-

Find the value of x in each of the given proportions 65:x =13:6

Answer:-

  • The value of x is 30.

Solution:-

 \large{ :  \implies \: 65 : x = 13 : 6}

 \large{ :  \implies \:  \frac{65}{x}  =  \frac{13}{6} } \\

After cross multiplication,

 \large{ :  \implies \: x \times 13 = 65 \times 6}

 \large{ :  \implies \: x =  \frac{65 \times 6}{13} } \\

 \large{ :  \implies \: x = 5 \times 6}

 \large{ :  \implies \: x = 30}

  • The value of x is 30.
Answered by Anonymous
55

Solution

\sf\pink{⟶} In this question, we have to find the value of x.

Given proportions

\tt\longmapsto{65:x = 13:6}

According to the question

\tt:\implies\: \: \: \: \: \: \: \: {\dfrac{65}{x} = \dfrac{13}{6}}

\tt:\implies\: \: \: \: \: \: \: \: {65 \times 6 = 13x}

\tt:\implies\: \: \: \: \: \: \: \: {390 = 13x}

\tt:\implies\: \: \: \: \: \: \: \: {13x = 390}

\tt:\implies\: \: \: \: \: \: \: \: {x = \dfrac{390}{13}}

\tt:\implies\: \: \: \: \: \: \: \: {\underline{\boxed{\orange{x = 30}}}}

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