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

Question

Philoid · Accepted Answer

Let the two parts be x and (24 - x)

According to the question

7x + 5(24 - x) = 146

By cross multiplication

⇒ 2x = 146 - 120

⇒ 2x = 26

⇒ x = 13

So the parts are 13 and (24 - 13) = 11