III. Two numbers are in the ratio 5:3. If
they differ by 18, what are the
numbers?​

2 thoughts on “III. Two numbers are in the ratio 5:3. If<br />they differ by 18, what are the<br />numbers?​”

1. [tex]\huge✪\tt\red{Question:}[/tex]

   Two numbers are in the ratio 5:3. If they differ by 18, what are the numbers?

   [tex]✪\tt\orange{To \: Find:}[/tex] Ratio With Given Data.

   [tex]\blue{━━━━━━━━━━━━━━━━━━━━━━━━━━}[/tex]

   [tex]\huge★{\underbrace{\tt\blue{Solution}}}[/tex]

   Let us consider the ration of two numbers be x.

   The two numbers are 5x and 3x.

   Since two numbers differ by 18, we can write the equation

   [tex]\blue{━━━━━━━━━━━━━━━━━━━━━━━━━━}[/tex]

   5x – 3x = 18

   2x = 18

   x= 9

   Therefore the two numbers are

   5x = 5 x 9 = 45

   3x = 3 x 9 = 27

   ∴ The two numbers are 45 and 27.

   [tex]\sf\purple{Hence, \: 45 \: and \: 27 \: is \: Answer.}[/tex]

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2. Answer:

   45:27

   Step-by-step explanation:

   (let us take x for 1 unit)

   5x-3x=2x=18

   2x=18

   x=18/2=9

   5x:3x= 9*5:9*3

   =45:27

   therefore the numbers are 45 and 27

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