24 is divided into two parts such that 7 times the first

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24 is divided into two parts such that 7 times the first part part added to 5 times the second part makes 146. The first part is ?

Let the two part be x and (24 - x),
Then, 7x + 5(24 - x) = 146
⇒ 7x + 120 - 5x = 146
⇒ 2x = 26
⇒ x = 13
∴ First part = x = 13