Question 1203234
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x = smaller number
y = larger number


x+y = 200 because the two numbers sum to 200


"The larger number is 8 less than triple the smaller" means
larger = 3*smaller - 8
y = 3x - 8


We can plug this into the first equation to solve for x
x+y = 200
x+<font color=red>y</font> = 200
x+<font color=red>3x-8</font> = 200
4x-8 = 200
4x = 200+8
4x = 208
x = 208/4
x = 52


Then,
y = 3x-8
y = 3*52-8
y = 156-8
y = 148


Answer: The two numbers are <font color=red>52 and 148</font>.


Check: 52+148 = 200
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