Jennifer has 2*10 = <<2*10=20>>20 apples.
She has a total of 10+20+20 = <<10+20+20=50>>50 fruits.
She gives her sister 2 pears+2 oranges+2 apples = <<2+2+2=6>>6 fruits.
After giving her sister 2 of each fruit, she has 50-6 = <<50-6=44>>44 fruits left.
#### 44