Question

difference between 2 number is 5. 4 times of greater number is equal to 5 times the smaller number . find the number.​

Answer 1

Answer:

this is your answer

okay

Answer 2

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$\longrightarrow\sf{Let\: larger \:number \:be\: x}$

$\longrightarrow\sf{Let \:smaller \:number \:be\: y}$

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$\longrightarrow\sf\underline\blue{According\:to \: the\: question}$

$\longrightarrow\sf{x - y = 5}$______________Ⓘ︎

$\longrightarrow\sf{4x = 5y}$____________Ⓘ︎Ⓘ︎

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$\bigstar\sf{By\: substitution\: method}$

$\longrightarrow\sf{from\:equation\:1 }$

$\longrightarrow\sf{x - y = 5}$

$\longrightarrow\sf{x = 5 + y}$

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$\longrightarrow\sf\underline\blue{ Substituting\: the\: value \:of \:x \:in \:equation \:2}$

$\longrightarrow\sf{4x = 5y}$

$\longrightarrow\sf{4(5+y) = 5y}$

$\longrightarrow\sf{20 + 4y = 5y}$

$\longrightarrow\sf{20 = 5y - 4y}$

$\longrightarrow\sf{y= 20}$

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$\longrightarrow\sf\underline\blue{Now \:substituting\: the \:value \:of \:y in\: equation\: 1}$

$\longrightarrow\sf{x = 5 + y}$

$\longrightarrow\sf{x= 5 + 20}$

$\longrightarrow\sf{x = 25}$

$\longrightarrow\sf\green{First\: number (larger) = 25}$

$\longrightarrow\sf\green{second \:number(smaller)=20}$

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