Question

10. Two numbers are in the ratio 5:3. If they differ by 28, what are the numbers?​

Answer 1

Answer:

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

5x – 3x = 18

2x = 18

x= 9

Therefore the two numbers are

5x = 5 x 9 = 45

and

3x = 3 x 9 = 27

∴ The two numbers are 45 and 27.

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Answer 2

Answer:

Let the numbers be 5x and 3x ( ration is 5x:3x = 5:3, which is the same)

Given, 5x-3x = 28

=> 28 = 2x

=> x = 14

So 5x = 5*14 = 70,

3x = 3*14 = 42

So the numbers are 42 and 70