24 is split into two parts such that 7 times the first part added to 5 times the second part makes 146. The first part is

24 is split into two parts such that 7 times the first part added to 5 times the second part makes 146. The first part is

Explanation

 24 is split into two parts such that 7 times the first plus 5 times the second is 146.


Let the first part be 

x, then the second is 

7x+5(24−x)=146

7x+120−5x=146

2x=26⇒x=13