Funny...
Thanks for the laugh Lawrence!
The washer is a 1983 Kenmore 70 model, third of four 70-series in that line. the only one better had five water levels instead of three. This and the other three models were available from early/mid 1983 to Fall, 1986, so this machine could be anywhere from 26 to 30 years old. This was Kenmore's best selling model of the 1980s.
It looks white to me in the picture, however the stock number will say for sure. If it is 23721, its white. 23728 is Almond, and 23725 is Toast. Almond and white were/are very common, toast is much more rare.
The black specs on clothes are a sign that centerpost seals are giving out, or have taken a permanent vacation already. Water gets into the centerpost bearings and lubricant during wash, especially in a high-fill load, and mix with the bearing lubricant, the degrading black rubber of the seals, and the rykon grease that is under the upper bearing, and they mix to make this brown/black bilge that stains everything it touches. Small amouonts of this oily mixture can fly out of the bearings/seals during spin, and it forms a black ring around the inside of the agitator right at the basket locknut. If some of this becomes suspended in water, it can deposit on clothes. It doesn't happen in the amounts that other brands can leak oil as they age, but it does happen and the spots are nearly impossible to remove, especially if they've been dried in. Because of this I always ascertain how healthy the seals are by running a machine full of water, and then checking how far up the center the agitator is wet. These seals were the early demise of some of these machines as far back as the early 1990s.
As to saving these particular machines, they are worth the effort if someone wants to put some elbow grease into the washer. The matching dryers were all very good machines, the best probably that were available at the time along with their Whirlpool counterparts, so your dryer would be worth saving in its own right.
I rescued an Almond one of this very same model in 2009 and enjoy using it quite often.
Gordon