The largest number which divides 70 and 125, leaving remainders 5 and 8, respectively, is

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The largest number which divides 70 and 125, leaving remainders 5 and 8, respectively, is

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(a)
13
(b) 65
(c)
875
(d) 1750

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Class 10 Maths Rohit QNA 3 years 2021-12-17T16:15:01+00:00 2021-12-17T16:15:01+00:00 1 Answer 5 views Enlightened 0

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Rohit QNA Enlightened · Answer 1 · 2021-12-17T16:15:32+00:00

Rohit QNA Enlightened

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2021-12-17T16:15:32+00:00 December 17, 2021 at 4:15 pm

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Answer: (a)
Explanation: Since 5 and 8 are the
remainders of 70 and 125, respectively. Thus after subtracting
these remainders from the
numbers, we have the numbers
65 = (70 − 5), 117 = (125 − 8) which is
divisible by the required number.
Now required number = H.C.F of
(65,117)

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The largest number which divides 70 and 125, leaving remainders 5 and 8, respectively, is