Question

two numbers are in the ratio 9:4 . if they differ by 30.what are the numbers ​

Answer 1

Answer:

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

Means answer is correct

Answer 2

Answer:

First number = 54

Second number= 24

Step-by-step explanation:

Let us consider,

First number be 9x and Second number be 4x

9x - 30 = 4x

9x - 4x = 30

5x = 30

x = 6

Therefore,

First number = 9x = 9×6 = 54

Second number= 4x = 4×6 = 24