Question

2. Two numbers are I'm ration 5.3 if they differ by 18 what are the numbers?
a. 50,30
b. 45,27
c. 11,20​

Answer 1

Answer:

b.) 45, 27

Step-by-step explanation:

Let the variables be x

=> 5x-3x = 18

=> 2x = 18

=> x = 18/2

= 9

Therefore,

=> 5x = 5×9 = 45

=> 3x = 3×9 = 27

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Answer 2

Question :

Two numbers are in the ratio 5 : 3 if they differ by 18 what are the numbers ?

Options :

• 50 , 30
• 45 , 27 $\tt\color{red}{\checkmark}$
• 11 , 20

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Step wise calculation :

Given :

• Two numbers are in the ratio 5 : 3
• Difference between them is 18

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To find :

• The two numbers whose difference is 18.

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Solution :

Ratio of two numbers = 5 : 3

Let the numbers be 5x and 3x.

According to the question :

Difference between two numbers = 18

$\sf\to\:5x-3x=18$

$\sf\to\:2x=18$

$\sf\to\:x=\frac{18}{2}$

$\small{\underline{\boxed{\mathrm{\to\:x=9}}}}$

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Now calculating the two numbers by substituting the value of x -

➻ First number = 5x = 5 × 9 = $\small{\mathfrak{45}}$

➻ Second number = 3x = 3 × 9 = $\small{\mathfrak{27}}$

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Verification :

Difference of two numbers must be 18.

$\sf\:45-27$

$\sf\:18$‎

Hence Verified !~

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