Question

One stick is 9cm longer than the other 2/5 of the longer stick is equal to 1/2 of the shorter stick. Find the length of the longer stick​

Answer 1

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:

$\frac{2}{5} (x + 9) = \frac{1}{2} x \\ \\ 2 \times \frac{2}{5} (x + 9) = x \\ \\ 4(x + 9) = 5x \\ \\ 4x + 36 = 5x \\ \\ 36 = 5x - 4x \\ \\ 36 = x \\ \\ x + 9 = 36 + 9 = 45$

Length of the longer stick = 45 cm