24 is divided into two parts such that 7 times the first part added to 5 times the second part makes 146. The first part is a) 11 b) 13 c) 16 d ) 17

Accepted Solution

Answer:13Step-by-step explanation:Let the two parts are x and y as per the question x+y=24 Β  -----------------(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 Β ------------ (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=26dividing both sides by 2 we get x = 13And hence our first part is 13