Question

Problem No. 4

300 is divided into 4 parts such that the first integer number is twice the second, three times the third
and four times the fourth. What is the value of the largest of these numbers?

Answer 1

x = 144

Explanation:

300 = x +
`(1)/(2)`x +
`(1)/(3)`x +
`(1)/(4)`x

300 =
`(12)/(12)x+(6)/(12)x+(4)/(12)x+(3)/(12)x`

300 =
`(25)/(12) x`

`x=(300)((12)/(25) )`

x = 144

To check if the answer is right:

300 = 144 +
`(1)/(2)`(144) +
`(1)/(3)`(144) +
`(1)/(4)`(144)

300 = 144 + 72 + 48 + 36

300 = 216 + 84

300 = 300