Question

Two numbers are in the ratio of 2: 5. if they differ by 24. What are the numbers

Answer 1

Answer:

Step-by-step explanation:

let their ratio be x

so the two numbers are - 2x and 5x

according to question

2x-5x= 24

3x=24

x=8

therefore the two numbers are-

2x=2*8=16

5x=5*8=40

just in case you want to verify

40-16=24

Answer 2

☯ Let us consider the ratio of two numbers be x

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• The two numbers are 2x and 5x

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☆ Since two numbers differ by 24, we can write the equation :

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$\:\:\:\:\:\:\:\dashrightarrow\:\sf{5x \:– \:2x \:=\: 24}$

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$\:\:\:\:\:\:\:\dashrightarrow\:\sf{3x\: =\: 24}$

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$\:\:\:\:\:\:\:\dashrightarrow\:\sf{x\:= \:8}$

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• Therefore the two numbers are :

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$\:\:\:\:\:\:\::\:\Longrightarrow\sf\:{2x\: = \:2\:\times\:8 \:= \:16}$

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And

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$\:\:\:\:\:\:\::\:\Longrightarrow\sf\:{5x \:= \:5\:\times\: 8 \:=\: 40}$

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$\:\therefore\:{\underline{\sf{ Hence,\:The\: two\:numbers \:are \:{\textsf{\textbf{ 16\: and \:40}}}}}}.$

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$\:\:{\underline{\textsf{\textbf{\pink{V\:E\:R\:I\:F\:I\:C\:A\:T\:I\:O\:N:}}}}}$

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We Know :

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• There are two numbers is 40 and 16.

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$\:\:\:\::\:\Longrightarrow\:\sf{5x\:-\:2x\:=\:24}$

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$\:\:\:\::\:\Longrightarrow\:\sf{5\:\times\:8\:-\:2\:\times\:8\:=\:24}$

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$\:\:\:\::\:\Longrightarrow\:\sf{40\:-\:16\:=\:24}$

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$\:\:\:\::\:\Longrightarrow\:\sf{24\:=\:24}$

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$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{\underline{\mathcal{\sf{\bold{Hence,\:Verified!}}}}}$

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