The sum of two numbers is 65. The smaller number is 9 less than the larger number. What are both the numbers?

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Let the 2 numbers be x and y and let the smaller number be y.

The sum of two numbers is 65.

x + y = 65 --- (1)

The smaller number is 9 less than the larger number.

y = x - 9 ---(2)

Substitute y from equation (2) in equation (1)

x + x - 9 = 65

2x = 65 + 9

2x = 74

x = 74/2

x = 37

Substitute value of x in equation (2)

y = 37 - 9

y = 28

So the numbers are 37 and 28.

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