A few years​ ago, a total of 2669 thousand people lived in the metropolitan areas of Las​ Vegas, Nevada, and​ Sacramento, California. Sacramento had 275 thousand more residents than Las Vegas. What was the population of each metropolitan​ area?

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Ozgr
Let's make equation for this problem. Let's say the population of LV is x, then Sacramento will be x+275 since Sacramento had 275 thousand more residents than Las Vegas. Remember that their total population is 2669, so your equation will be [tex]x+275 +x=2669[/tex] 

If you solve this equation, you have x=1197, that is population of LV. So Sacramento is 1472.