Math, asked by madhu8649, 5 months ago

x/2-6 = x/3- 5 step by step please​

Answers

Answered by IIMidnightHunterII
5

Answer:

 \frac{x}{2}  - 6 =  \frac{x}{3}  - 5 \\  \\  \frac{x - (6 \times 2)}{2}  =  \frac{x - (5 \times 3)}{3}  \\  \\  \frac{x - 12}{2}  =  \frac{x - 15}{3}  \\  \\ cross \:  \:  \: multiply.............. \\  \\ 3(x - 12) = 2(x - 15) \\  \\ 3x - 36 = 2x - 30 \\  \\ 3x - 2x =  - 30 + 36 \\  \\ x = 6

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Answered by Unacademy
0

Given:-

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  • \sf:\implies \: {\bold{ \dfrac{x}{2} - 6 = \dfrac{x}{3} - 5}}⠀⠀⠀⠀

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To find :-

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  • Value of x

Solution :-

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\sf:\implies \: {\bold{ \dfrac{x - 12 }{2} = \dfrac{x - 15 }{3} }}

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  • Cross multiply

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\sf:\implies \: {\bold{ 3 ( x - 12 ) = 2 ( x - 15 ) }}

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\sf:\implies \: {\bold{ 3x - 36 = 2x - 30 }}

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\sf:\implies \: {\bold{ 3x - 2x = 36 - 30 }}

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\sf:\implies \: {\bold{ x  = 6 }}

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Answer :-

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  • Required value of x is 6

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