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

Respuesta :

Answer:

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

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