The sum of two numbers is 18. The quotient of the two numbers is 17. What are the two numbers?

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02-08-2016
Mathematics

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The sum of two numbers is 18. The quotient of the two numbers is 17. What are the two numbers?

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nobillionaireNobley nobillionaireNobley · Answer 1 · 2016-08-04T15:43:35+02:00

nobillionaireNobley nobillionaireNobley

04-08-2016

Let the two numbers be x and y
x + y = 18 . . . . . . . . (1)
x/y = 17 . . . . . . . . (2)
from (2): x = 17y
substituting for x in (1), gives
17y + y = 18
18y = 18
y = 18/18 = 1
x = 17y = 17(1) = 17

Therefore the two numbers are: 1 and 17

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