# If 45 is subtracted from twice the greater of two numbers, it results in the other number. If 21 is subtracted from twice the smaller number, it results in the greater number. Find the numbers.

Let the greater number be x and the smaller number be y.

According to question -

2x - 45 = y

2x - y = 45.....(1)

and, 2y - 21 = x

x - 2y = - 21.....(2)

From equation (1), we get -

x = (y + 45)/2.....(3)

Substituting the value of x in equation (2), we get -  45 - 3y = - 42

3y = 87

y = 29

substituting the value of y in equation (3), we get -

x = 37

Thus, the numbers are 37 and 29.

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