Problem on number | Aptitude Question and Answer

54 is to be divided into two parts such that the sum of 10 times the first and 22 times the second is 780. The bigger part is:

A. 24                                   B. 30

 

C. 32                                   D. 34

Solution

Let the two parts be (54 – x) and x

 

Then, 10(54 – x) + 22x = 780

 

==> 12x = 240 ==> x = 20

 

Bigger part = (54 – x)

 

= 54 – 20 = 34

 

Answer : D

 

 

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