Two clocks are turned on at the same time. one clock chimes every 15 minutes. the other clock chimes every 25 minutes. in how many minutes will they chime together

The two clock will chime together in 75 minutes

Step-by-step explanation:

- Two clocks are turned on at the same time

- One clock chimes every 15 minutes

- The other clock chimes every 25 minutes

- We need to know in how many minutes they will chime together

- The two clock will chime together in the multiples of 15 and 25

- Lets find the first common multiple of 15 and 25

∵ 15 = 5 × 3

∴ The prime factors of 15 are 3 and 5

∵ 25 = 5 × 5

∴ The prime factor of 25 is 5

∴ The lowest common multiple of 15 and 25 = 5 × 3 × 5 = 75

∴ The two clocks will chime together every 75 minutes

The two clock will chime together in 75 minutes