Question

Divide the share 100 between a and b such that twice of a share is less than 3 times of b share by 200

Answer 1

Step-by-step explanation:

According to first condition:

a + b = 100

a = 100 - b.... (1)

According to second condition:

2a = 3b - 200....(2)

From equations (1)& (2)

2(100-b) = 3b - 200

200 - 2b = 3b - 200

200 + 200 = 3b + 2b

400 = 5b

$b = \frac{400}{5}\\</p><p>b = 80\\</p><p>\implies a = 100 - b = 100 - 80 = 20$

Hence,

Number of shares with a = 20

Number of shares with b = 80