Math, asked by mird, 5 months ago

plzzzzz help me....... ​

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Answers

Answered by BrainlyEmpire
12

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

Numbers are in the ratio = 2:3

when 4 is subtracted from each it become = 3 : 5

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

Correct numbers = ??

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\sf{\bold{\pink{\underline{\underline{Solution}}}}}

let the number be 2x and 3x

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ATQ :- when 4 is subtracted from both it becomes 3 : 5

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\sf: \implies{\bold{ \dfrac{2x - 4}{ 3x - 4} = \dfrac{3}{5}}}

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\sf: \implies{\bold{ 5 ( 2x - 4) = 3 ( 3x - 4)}}

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\sf: \implies{\bold{ 10x - 20 = 9x - 12}}

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\sf: \implies{\bold{ 10x - 9x = 20 - 12}}

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\sf: \implies{\bold{ x = 8}}

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\sf{\red{\boxed{\bold{x = 8}}}}

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Putting value of x in the numbers :—

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\sf: \implies{\bold{ 2x }}

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\sf: \implies{\bold{ 2 \times 8}}

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\sf: \implies{\bold{ 16 }}

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\sf{\orange{\boxed{\bold{First\: number = 16 }}}}

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\sf: \implies{\bold{ 3x }}

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\sf: \implies{\bold{ 3 \times 8}}

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\sf: \implies{\bold{ 24 }}

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\sf{\orange{\boxed{\bold{Second\: number = 24 }}}}

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

• Required numbers are 16 and 24

Answered by Itzsweetcookie
0

Answer:

Two numbers are in the ratio 2:3. Let the two numbers are 2x and 3x. If 4 be subtracted from each, they are in the ratio 3:5. The value of x is 8

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