#1368 · Number Theory · Modular arithmetic

Remainders with 39 and 56

Find a number which being divided by 39 gives a remainder 16, and by 56 a remainder 27. How many such numbers are there?

~10 minAnswer checked instantlyModular arithmeticChinese remainder theorem

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. X. Miscellaneous Equations, Examples X.d, No. 17

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Checked against the answer in H. S. Hall & S. R. Knight, Higher Algebra (1891).