Math, asked by kalasaniramu, 6 months ago

let a be greatest number that will divide 125 535 and 625 leaving the same reminder in case then then sum of digit a​​

Answers

Answered by tvsgk1
0

Answer:

Step-by-step explanation:

Answered by AadilPradhan
0

Sum of digit of a is 1

Given:

a is the greatest number that will divide 125 535 and 625 leaving the same remainder in each case.

To find:

Sum of digits of a

Solution:

Firstly we have to find a.

There is a concept that that if we have 3 numbers b, c and d then the greatest number that will divide all three of them leaving the same remainder will be the H.C.F of (c-b), (d-c), (d-b).

So,

b = 125

c = 535

d = 625

(c-b) = 535 - 125 = 410

(d-c) = 625 - 535 = 90

(d-b) = 625 - 125 = 500

Now we have to find H.C.F. of 410,90,500

Using factorisation method,

410 = 2 * 5* 41

90 = 2* 3*3* 5

500 = 2*2*2* 5*5*5

So, the common factors are 2 and 5

H.C.F. = 2*5 = 10

a = 10

Sum of digits of a = 1+0 = 1

Hence, the answer is 1.

#SPJ2

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