Let one part be x.
Then, other part = 56−x
Given that
65 of one part = 23 of the other
⇒ 65x = 23(56−x)
⇒ 18x=10(56−x)
⇒ 18x=560−10x
⇒ 28x=560
⇒ x=20
The other part would be 56 - 20 = 36
Hence, the smaller part is 20.