Answer:
Peter = 6 kg
Mary = 12 kg
Lucy = 8 kg
Explanation:
let us take number of kg's peter took as x
then lets form an expression to find x
let us take mary's chestnuts as = 2x (twice as much as peter)
let us take Lucy's chestnuts as = 2 + x (picked 2 kg more than peter)
so
x + 2x + 2+ x = 26
4x + 2 = 26
4x = 26 - 2
4x = 24
x = 24/4
x = 6
now let us see how much each of them picked while replacing 6 by x
Peter = x
= 6 kg
Mary = 2x
= 2(6)
= 12 kg
Lucy = 2+x
= 2 + 6
= 8 kg
now let us cross check to see the answer
6 + 12 + 8
18 + 8
= 26
CROSS-CHECKED