The larger of two numbers is 15 less than twice the smaller number. the sum of the two numbers is 39. find the two numbers.

Let the two numbers be x and y with x being the larger number.

Given,

x + y = 39

x = 39 - y

Also given,

x = 2y - 15

39 - y = 2y - 15

3y = 54

y = 18

x = 39 - y = 39 - 18 = 21

Hence, the two numbers are 21 and 18.

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