The parts of the sum are 60 and 130.
Explanation:
- Let the greater part be 'x'.
- Smaller part = (1/2)x - 5
The sum of two parts = 190
⇒ (1/2)x -5 + x = 190
⇒ 0.5x + x = 190+5
⇒ 1.5x = 195
⇒ x = 195/1.5
x = 130
∴ The greater part is 130.
Substitute x=130 to find the smaller part,
Smaller part = (1/2)(130)-5
⇒ 65-5
⇒ 60
∴ The smaller part is 60.