Answer:
Length of the longer stick = 45 cm
Step-by-step explanation:
Let the length of shorter stick be x cm
Therefore, length of longer stick = (x + 9) cm
According to the given information:
[tex] \frac{2}{5} (x + 9) = \frac{1}{2} x \\ \\ 2 \times \frac{2}{5} (x + 9) = x \\ \\ 4(x + 9) = 5x \\ \\ 4x + 36 = 5x \\ \\ 36 = 5x - 4x \\ \\ 36 = x \\ \\ x + 9 = 36 + 9 = 45 \\ [/tex]
Length of the longer stick = 45 cm
