Question

divide rupees 350 into two parts such that half of the greater part exceeds the smaller part by 100 give answer

Answer 1

we take one part x
another half take x+10
sumof to x +10+x=350
2x+10=350
2x=350-10
2x=340
x=340/2
x=170

first half x=170
another is x+10=170+10=180

Answer 2

Let the smaller part be x

Then the bigger part = 350 – x

According to the given statement:

(350 - x)/2 = x + 100

=>350 – x = 2(x + 100)

=>350 – x = 2x + 200

=>350 – 200 = 2x + x

=>150 = 3x

Hence, the smaller part x = 50.

The bigger part 350 – x = 350 – 50 = 300.

Cross verification:

Half of the bigger part is 300/2 = 150.

150 exceeds the value of the smaller part 50 by 100.