What should be added in 5432876 so that the sum is exactly divisible by 350?
Answers
Step-by-step explanation:
Let us arrange 5432876 in the form of a = bq + r
If we divide 5432876 by 350, then a = 5432876 = b = 350, q = 15522 , r = 176
Difference in b and r = 350 - 176 = 174
To make 5432876 divisible by 350, the no need to add is 174
Hence 5433050 is divisible by 350
Concept
We know that if a is divided by b and the quotient is q and remainder r then a can be written as
a=bc+r
Therefore we will first differentiate the number 5432876 by 350 and then subtract the remainder from 350. The resultant number will be the value which should be added to the number.
Given
The given number a = 5432876
b=350
Find
We have to calculate the value of the given number which should be added in the number so that when it is divided by 350 then the remainder is 0.
Solution
Since, a=bc+r
Therefore,
5432876=15522*350+176
Therefore the remainder r = 176
Hence, 350-176 = 174
Hence when 174 is added to 5432876 then the remainder is 0 when it is divided by 350.
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