For what relation between b and c is the number abcacb divisible by 7, if b > c?
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Answer:
ABC=123 AND CBA=321
Step-by-step explanation:
A, B AND C are distinct numbers . Find all (a,b,c) such that the three-digit numbers “abc” and “cba” are both divisible by 7.
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Property: if we need to check whether any two number is divisible by any number or not then we check it by either adding or substracting the two number. if the result we get is divisible by the no then the two nos also get divisible.
abcacb - Take abc and acb as two different no and if these two no will be divisible by 7 the whole no will also get divisible by 7.
if abc and acb get divisible by 7 so there difference will also be divisible by 7
(100a+10b+c - 100a-10c-b)/7
(9b-9c)/7
9(b-c) / 7
the result will be divisible only when b-c=7
b=c+7
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