A sum of 24 is divided into two parts so that seven times the first part added to five times the second part makes 146. The value of first part is?

A sum of 24 is divided into two parts so that seven times the first part added to five times the second part makes 146. The value of first part is? Correct Answer 13

Let the value of first and second part be F and (24 - F) respectively. Now, 7F + 5(24 - F) = 146 or, 7F + 120 - 5F = 146 or, 2F = 146 - 120 or, F = 26/2 =  13
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