Question

Difference between two number are 66 there ratio is 2:5what are the two number

Answer 1

$\sf{\bold{\green{\underline{\underline{Given}}}}}$

• Ratio of the numbers = 2 : 5
• Difference = 66

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$\sf{\bold{\green{\underline{\underline{To\:Find}}}}}$

• Original numbers = ??

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$\sf{\bold{\green{\underline{\underline{Solution}}}}}$

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• Let the original numbers be 2x and 5x

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ATQ :-

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$: \implies\: \sf{\bold{5x - 2x = 66}}$

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$: \implies\: \sf{\bold{3x = 66}}$

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$: \implies\: \sf{\bold{x = \dfrac{66}{3}}}$

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$: \implies\: \sf{\bold{x = 22 }}$

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• Finding the numbers

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5x = 5 × 22 = 110

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2x = 2 × 22 = 44

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$\sf{\bold{\green{\underline{\underline{Answer}}}}}$

• Required numbers are 110 and 44

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$\sf{\underline{\huge{\boxed{\bold{Verification}}}}}$

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• Diff. of the number should be 66

110 - 44 = 66

66 = 66

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀.....Hence Proved

Answer 2

Answer:

Ratio of the numbers = 2 : 5

Difference = 66

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\sf{\bold{\green{\underline{\underline{To\:Find}}}}}

ToFind

Original numbers = ??

______________________

\sf{\bold{\green{\underline{\underline{Solution}}}}}

Solution

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Let the original numbers be 2x and 5x

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ATQ :-

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: \implies\: \sf{\bold{5x - 2x = 66}}:⟹5x−2x=66

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: \implies\: \sf{\bold{3x = 66}}:⟹3x=66

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: \implies\: \sf{\bold{x = \dfrac{66}{3}}}:⟹x=

3

66

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: \implies\: \sf{\bold{x = 22 }}:⟹x=22

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Finding the numbers

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5x = 5 × 22 = 110

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2x = 2 × 22 = 44

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\sf{\bold{\green{\underline{\underline{Answer}}}}}

Answer

Required numbers are 110 and 44

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\sf{\underline{\huge{\boxed{\bold{Verification}}}}}

Verification

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Diff. of the number should be 66

110 - 44 = 66

66 = 66

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀.....Hence Proved