54 is to be divided into two parts such that the sum of 10 times the first and 22 times the second is The bigger part is :

54 is to be divided into two parts such that the sum of 10 times the first and 22 times the second is The bigger part is :

A 24

B 34

C 40

D 32

Solution

Correct Answer: Option B

10x + 22(54-x) = 780

=> 10x + 1188 - 22x = 780

=> -12x = -408

x = 34