If Mrs Murphy separates her class into groups of 4 students each, 1 student is left over. If she separates her class into groups of 5 students each,2 students are left over. What is the least number of students the class could have ?

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Question:

If Mrs Murphy separates her class into groups of 4 students each, 1 student is left over. If she separates her class into groups of 5 students each,2 students are left over. What is the least number of students the class could have ?

Answers

The question means that when the number is 1 more than a multiple of 4 and two more than a multiple of 5. Write out multiples of 4 with one added on to them.5,9,13,17,21,Then write out multiples of 5 with one added on to them7,12,17,22,The smallest number that both lists share is 17, so that is the answer

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