Nick is going to the skating ring once in 12 days. Victoria is going to the skating ring once in 20 days. Boris is going to the skating ring once in 18 days. Last Monday they all went to the skating rink. When is the next day they will be there altogether?

The next day they will be altogether in the gym is the 180th day after their last meeting

Step-by-step explanation:

Given

Nick = once in 12 days.

Victoria = once in 20 days.

Boris = once in 18 days.

Required

The next day they will be there altogether

To get the next day they will be there altogether, we have to find the multiples of the given piece of data. The common factor is the answer (in other words, the next day they will be there altogether).

So;

For Nick (once in 12 days), this means we'll list out the multiples of 12.

Nick; 12,24,36,48,60,72,84,96,108,120,132,144,156,168,180,192,204

For Victoria (once in 20 days), this means we'll list out the multiples of 20.

Victoria; 20,40,60,80,100,120,140,160,180,200,220,240

For Boris (once in 18 days), this means we'll list out the multiples of 18.

Boris; 18,36,54,72,90,108,126,144,162,180,198,216

The signifies that the data continues but we had to stop

Having listed out the multiples of the given data, the next step is to identify the common factor.

The common factor is 180.

Hence, the next day they will be altogether in the gym is the 180th day after their last meeting

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step-by-step explanation: