Question

Twenty-four is divided into two parts such that 7 times the first part added to 5 times the second part 146. Find each part.

Answer 1

Let first part = x

then second part = 24 - x ($\because$Sum = 24)

According to the condition,

$7x+5(24-x)=146\Rightarrow 7x+120-5x=146\Rightarrow 2x=146-120=26\Rightarrow x=\frac{26}{2}=13$

$\therefore$ First part = 13

and second part = 24 - 13 = 11 Ans.