Question

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

Answer 1

Answer:

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Step-by-step explanation:

13

(a) 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. Hence, 13 is the largest number which divides 70 and 125, leaving remainders 5 amnd 8.

Answer 2

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The largest number by which x , y divisible and gives the remainder a and b is the HCF of ( x - a ) and ( y - b)

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According to the given problem ,

The largest number which divides

70 and 125 leaving remainders 5 and

8 respectively are

HCF of ( 70 - 5 ) = 65 and

( 125 - 8 ) = 117

65 = 5 × 13

117 = 3 × 3 × 13

HCF ( 65 , 117 ) = 13

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