Question

The ration of two number is 3: 5. if both numbers are increased by 5 their ratio becomes 2:3 find the number.
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Answer 1

Answer:

let the numbers be 3x and 5x so

according to the question

(3x + 5)/(5x +5) =2/3

9x +15 = 10x +10

         5= x

Step-by-step explanation:

the numbers are 15 and 25 respectively.

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Answer 2

AnswEr :

⠀

• The required numbers = 15 and 25 respectively.

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Step-by-step explanation :

We are given with the ratio of two numbers and the both numbers are increased by 5 their ratio is also given, that is,

• The ratio of two numbers = 3:5.

• The both numbers are increased by 5 then their ratio = 2:3.

We need to find the required numbers.

⠀_________________________

☯ Let us consider that the two numbers is 3x and 5x respectively.

⠀

According to the given question,

⠀

⠀⠀ If both numbers are increased by 5 their ratio becomes 2:3.

⠀

Therefore,

⠀

$\tt{\longrightarrow \: \: \: \: \: \dfrac{3x + 5}{5x + 5} = \dfrac{2}{3} }$

⠀

$\tiny\frak{\qquad \quad \: \: \: \: \dag \: Cross \: multiplication}$

⠀

$\tt{\longrightarrow \: \: \: \: \: 3(3x + 5) = 2(5x + 5)}$

⠀

$\tt{\longrightarrow \: \: \: \: \: 9x + 15 = 10x + 10}$

⠀

$\tt{\longrightarrow \: \: \: \: \: 9x - 10x = 10 - 15}$

⠀

$\tt{\longrightarrow \: \: \: \: \: - 1x = 10 - 15}$

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$\tt{\longrightarrow \: \: \: \: \: - 1x = - 5}$

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$\tt{\longrightarrow \: \: \: \: \: 1x = 5}$

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$\bf{\longrightarrow \: \: \: \: \: x = 5}$

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Now,

The two numbers will be,

⠀

• 3x = 3 × 5 = 15.
• 5x = 5 × 5 = 25.

⠀

$\therefore \underline{\textsf{The required numbers is \textbf{15 and 25} respectively.}}$