Question

the ratio of two no. is 5:8 if their diffrence is 117 then find the no.​

Answer 1

Answer:

5x-8x=117

-3x=117

x=-117/3

Answer 2

$\large\sf\underline{Given:}$

• Ratio of two numbers = 5 : 8

• Their difference = 117

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$\large\sf\underline{To\:find:}$

• The two numbers

‎

$\large\sf\underline{Assumption:}$

Let the common term be x .

So ,

• Larger number = 8x

• Smaller number = 5x

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$\large\sf\underline{Solution:}$

According to the question ,

$\sf\:Larger\: number-Smaller\:number=117$

‎

• Let's substitute the value that we assumed

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$\sf⇒\:8x-5x=117$

$\sf⇒\:3x=117$

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• Transporting 3 to the other side

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$\sf⇒\:x=\frac{117}{3}$

$\sf⇒\:x=\cancel{\frac{117}{3}}$

${\sf{{\pink{⇒\:x=39}}}}$

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┍━━━━━━━━━★━━━━━━━━━┑

⠀$\large\rm\purple\star\:\underline{Final\:answers:}$

• Larger number = 8x

⠀‎⠀⠀⠀‎⠀‎⠀⠀⠀‎⠀⠀⠀‎⠀‎ = 8×39

⠀‎⠀⠀⠀‎⠀⠀⠀‎⠀‎⠀⠀⠀‎⠀‎⠀=${\sf{{\purple{\:312}}}}$

• Smaller number = 5x

⠀‎⠀⠀⠀‎⠀‎⠀⠀⠀‎⠀‎⠀⠀⠀‎ ⠀‎= 5×39

⠀‎⠀⠀⠀‎⠀‎⠀⠀⠀‎⠀‎⠀⠀⠀‎⠀‎ =${\sf{{\purple{\:195}}}}$

┕━━━━━━━━━★━━━━━━━━━┙

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$\large\sf\underline{Verification\:of\:my\:answer:}$

According to the question ,

$\sf\: Difference\:of\:two\: numbers=117$

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• Substituting the numbers we got as answers

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$\sf➻\:312-195=117$

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$\sf➻\:117=117$

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$\dag\:{\sf [\:Hence\: Verified\:]}$

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!! Hope it helps !!