A sum of Rs 190 is divided into two parts. If the smaller part is Rs 5 less than half of the greater part, find the parts of the sum.
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The parts of the sum are 60 and 130.

Step-by-step explanation:

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.

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