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. [4 MARKS]

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Solution

Concept: 1 Mark
Application: 2 Marks
Answer: 0.5 Mark each
Assume first part = x and second part = 24 - x

From question, 7(First part) + 5(second part) = 146

7x + 5(24 - x) = 146

7x + 120 – 5x = 146

2x = 26

x = 13

First part = 13

Second part = 11

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