Question

10. Find the greatest number that divides 1025, 1299 and 1575 leaving remainders
7,11 and 15, respectively.
(Hint: First find the required numbers by subtracting remainders from the given numbers and then find
the HCF of the numbers.)​

Answer 1

Required number must divide the number if we subtract the remainder from the given numbers

∴ Required number must divide (1025−5),(1299−7) and (1575−11) exactly.

∴ Required number =HCF of 1020,1292 and 1564

Hence Required number =68

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