This year he is 71

This year is 2006.

So, he was born in year 2006-71=1935

10 years later, 1935 + 10 = 1945, he was 10 years old.

And the news said: when he was 10, (10岁时)他独自流浪到了广东, 靠给人洗碗、抹桌子打工糊口.

Then the news said: 1994年，李老汉开始失业.

So 1994 - 1945 = 45 years, well i said 50 years, not too far away from the truth.