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

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Engineering graduate from NIT Calicut, Rank holder (#47) in State Entrance Examination.

In question, it is given that numbers are in the ratio 5:3. So that we can assume the numbers as 5k and 3k. where k is a numerical constant. Now the ratio becomes 5k:3k=5:3 They are differed by 18, that means 5k=3k+18 5k-3k=18 2k=18 k=18/2 k=9 first number=5k=5*9=45 second number=3k=3*9=27 Hence the...
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In question, it is given that numbers are in the ratio 5:3. So that we can assume the numbers as 5k and 3k.

where k is a numerical constant. 

Now the ratio becomes 5k:3k=5:3

They are differed by 18, that means

5k=3k+18

5k-3k=18

2k=18

k=18/2

k=9

first number=5k=5*9=45

second number=3k=3*9=27

Hence the numbers are 45 and 27

 

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Tutor

Let the numbers be 5 x and 3 x . According to the question:- 5x-3x=18 2x=18 x=18÷2 x=9 Substituting value of x in 5x and 3x. 5x= 5 x 9=45. 3x= 3 x 9= 27 The required numbers are 45 and 27.
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45 and 27
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Let the two numbers be 5x and 3x. It is given 5x-3x=18 i.e 2x=18 So x= 18/2 X= 9 Put the value of x in 5x and 3x Therefore the two numbers are 45 and 27.
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Let the common ratio between these numbers be x. Therefore, the numbers will be 5x and 3x respectively. Difference between these numbers = 18 5x − 3x = 18 2x = 18 Dividing both sides by 2, x = 9 First number = 5x = 5 × 9 = 45 Second number = 3x = 3 × 9 = 27
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Let the common ratio between these numbers be x. Therefore, the numbers will be 5x and 3x respectively.

Difference between these numbers = 18

5x − 3x = 18

2x = 18

Dividing both sides by 2,

x = 9

First number = 5x = 5 × 9 = 45

Second number = 3x = 3 × 9 = 27

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Prepared for Future

We assume number is=x So, 5x-3x=18 2x=18 x=18/2 x=9 5x=5*9=45 3x=3*9=27 Numbers are 45 and 27
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Tutor

Since the ratio be 5:3. So let the two numbers be 5x and 3x. Since these numbers differ by 18. 5x - 3x = 18 2x = 18 x = 18/2 x = 9 Hence the two numbers are 5*9 and 3*9 = 45 , 27
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