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