Question

The largest number which divides 70 and 125, leaving remainders 5 and 8,respectively, is(A)13(B)65(C)875(D)1750
ans=(a)13.how?...​

Answer 1

Answer :- 13

Step by step explanation :-The largest number by which x , y 

divisible and gives the remainder a ,

and b is

the HCF of ( x - a ) and ( y - b) 

__________________________

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

Required number is 13.

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