Question

two numbers are in a ratio 9:11. if the sum of these two numbers is 660. find the difference between the numbers?​

Answer 1

Answer:

Let the two numbers be 9x and 11x

Their sum is 660

9x + 11x = 660

20x = 660

x = 660/20

x = 33

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9x

=> 9(33)

=> 297

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11x

=> 11(33)

=> 363

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Difference between two numbers 297 and 363 is

297 - 363 = -66

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-66 is the difference between the two number 9x and 11x

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Answer 2

Answer:

The difference between the two numbers is 66 and the two numbers are 297 and 363 respectively

Step-by-step explanation:

let the common multiple be x

therefore

9x + 11x = 660

therefore

20x = 660

therefore

x = 660 divided by 20

therefore

x = 33

therefore

9x = 33 multiplied by 9

thereofre

9x = 297

and

11x = 33 multiplied by 11

therefore

11x = 363

the difference between the two numbers

= 363 - 297

= 66