# Mathematics

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Find the greatest number which when divided into 1250 and 1000 leaves a remainder of 26 and 28 respectively.

• Mathematics -

Numbers that leave a remainder of 28 when divided into 1000 are:
486, 243, and 81.
Numbers that leave a remainder of 26 when divided into 1250 are:
612, 306, 204, 153, 102, 51, and 34

I don't see any numbers common to both lists.

• Mathematics -

408, 136 and 69 also work with 1250, but none of them work with 1000.

• Mathematics -

I don't know

• Mathematics -

1250รท26

• Mathematics -

36

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