Answer:
13
Step-by-step explanation:
Let the two parts are x and y
as per the question
x+y=24 -----------------(A)
Also 7 times first part (x) that is 7x ,
when added to
5 times second part (y ) that is 5y
it gives 146
Hence our second equation becomes
7x+5y=146 ------------ (B)
Now we have to solve these two equations (A) and (B) to find the values of x and y
[tex]x+y=24 \\7x+5y=146\\[/tex]
now multiplying equation A with 5 and subtracting it from B
[tex]7x+5y=146[/tex]
[tex]-5x-5y=-120[/tex]
we get
2x=26
dividing both sides by 2 we get
x = 13
And hence our first part is 13