let abc is a three digit positive integer such that it is equal to four times the product of it's digits then the value of b - (a+c) is equal to
Answers
Given : abc is a three digit positive integer such that it is equal to four times the product of it's digits
To find : Value of b - (a + c)
Solution:
assuming a , b & c are distinct digits
abc is a three digit positive integer such that it is equal to four times the product of it's digits
4abc has a factor 4 hence number abc must be divisible by 4
Hence bc must be divisible by 4
a, b , c can not have 0 & 5 having 5 will have product ending with zero
and having any digit 0 in a , b & c will make product 0
bc can be
12 , 16 , 24 , 28 , 32 , 36 , 48 , 64 , 68 , 72 , 76 , 84 , 92 , 96
384 is only possible solution
384 8 - (3 + 4) = 1
a = 3
b = 8
c = 4
b - (a+c) = 1
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