I would suggest getting DH to look them over real well,they are pretty simple once you get to looking at them..My grandmothers 15 yr old washer stoped working one day.Wouldn't pump out water or spin.Couldn't spin do to the water in it.It couldn't pump the water out do to a clogged (filter? im guessing it was).Flip it over and look for a short black rubber line (im thinking its 3/4inch in size) running from the pump to a big whitish/clear colored plastic round thing (about the size of a base ball)Theres another line running from it up and out the back of the washer,thats the drain line.Take the filter off and try running water threw it/bet its clogged.I cut off a piece of pipe about 3inches long and used it to put the two pieces of rubber line back together with out the filter.Worked great.Im assuming the filter is supposed to keep your house plumbing from clogging,our washer drained in a field so we didn't have to worry about that.Guess if you cant clean it you could replace it.
By the way im sure DH can do this i was only 16 when i fixed my grandmothers,like i said there real simple.

Assuming you washer is made like this one anyway.It was a Speed Queen.
Dryers are even simpler in construction.Electric motors can smell when there over heating/dieing (pull it out run it for a few seconds and smell the motor,if its the motor you'll no,smells like wires burning).Could be from bad bearing in the tub or a bad motor.Does it turn over easy? Been hearing any weird noises from the tub turning over while its running? Might also be just a lint clog or possible failing heat element (smells more like crayons burning ).Ive heard of them getting clogged by lint inside.Wet damp lint tend the cling to things! First Check your exhaust line behind the dryer for obstructions/ or kinks (take it off and look threw it shack it out.
There way cheaper to fix yourself (not buy repair man) than to replace, as long as its not motor related.A new motor could be half the cost of a new one.
But my biggest reason for fixing them would be there age.Seriously they don't make them like that anymore.Seems every time we buy one, it cleans less than the one before it.The tubs are designed to be gentler on cloths now days.This is great if you clothes are not real dirty,if they are you better hand wash because the washer want get it out.

Wish they would design one aimed at cleaning Gardening/ATVing/Kids clothes !

If i could afford one id buy a front loader,the tumbling would clean best id think.Although the tubs are small.