# math

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Julie has a mystery number.
When she divides the mystery number by 5, the remainder is 1
When she divides the mystery number by 6 the remainder is 4
When she didvides the mystery number by 7 the remainder is 6
What is the smallest number that could be Julies mystery number?

• math -

75 is divisible by 5 with no remainder, therefore, 76 would have one remainder.
The closest factor of 6 near 76 is 72. So 76 would have 4 remainders
For seven, the closest factor is 70, with the remainder of 6, 76 is your answer.
Also, this question came in great help for my exams, thx!

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