The sum of two numbers is 180 and their difference is 36. find the numbers. note: assume that xx is the bigger of the two numbers and yy is the smaller number. write the equation that involves the sum of the two numbers

Smaller number = y
Bigger number = x

Sum of the two numbers is 180
x+ y = 180

Difference between the two numbers is 36
x - y = 36

x + y = 180 (1)
x - y = 36  (2)

(1) + (2):

2x = 216
x = 108

Now that we know x = 108, plug this value into equation (1) to solve for y.

x+ y = 180
108 + y = 180
y = 180 - 108
y = 72

x = 108, y = 72

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