Question

1. Two members are in the ratio 5:3. If they differ by 18. what
are the numbers​

Answer 1

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.

Answer 2

Step-by-step explanation:

Let the rational between numbers be x. As the numbers are in 5 : 3 ratio

Hence the numbers can be written as 5x and 3x

As per the statement the difference in these numbers is 18. Thus

5x-3x=18…Eq.1

Solving this equation

5x-3x=18

2x=18

x=18/2

x=9

Therefore rational x between the number is 9; Now calculate the numbers by putting the value of rational x.

5x means

5×9

=45

First number is 45

3x means

3×9

=27

Second number is 27

Answer the numbers are 45 and 27

Now check the correctness of answer by putting the value of x in Eq. 1

5x-3x=18

5×9–3×9=18

45–27=18

18=18