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Tommy is thinking of a number between 800 and 900 He divides it by 4 and there is a remainder of 1 He divides it by 5 and there is a remainder of 1 He divides it by 6 and there is a remainder of 1 He divides it by 7 and there is a remainder of 1

What is Tommy's number?

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Answer:

841

Step-by-step explanation:

If the number is divided by 4 and the remainder is 1, the last digit must be 1, 3, 5, 7 or 9.

If the number is divided by 5 and the remainder is 1, the last digit must be 6 or 1.

So we already know the last digit must be 1.

The numbers between 800 and 900, with last digit 1, that divided by 6 have a remainder of 1 are:

811, 841, 871

The numbers between 800 and 900, with last digit 1, that divided by 7 have a remainder of 1 is just 841

So Tommy's number is 841.

xero099

Tommy's number is 841.

In this question we must determine first the least common number of 4, 5, 6 and 7, which is the product of these four numbers, that is to say:

[tex]x = 4\times 5\times 6 \times 7[/tex]

[tex]x = 840[/tex]

This is the least number that is divisible both for 4, 5, 6 and 7. Now we add this number by 1 to determine what number Tommy thought:

[tex]y = x + 1[/tex]

[tex]y = 841[/tex]

Tommy's number is 841.

To learn more on divisibility, we kindly invite to check the following verified question: https://brainly.com/question/369266

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