Question

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

Answer 1

Let one part be x
Then, other part is 24 - x
Given,
$7 \times x + 5 \times (24 - x) = 146 \\ 7x + 120- 5x = 146 \\ 2x = 26 \\ x = 13$
Thus, one part is 13 and
other part is 24 - 13= 11