Question

if 34046 and 32511 when divided by a three digit number, give equal remainder.find that three digit number.​

Answer 1

Given :- if 34046 and 32511 when divided by a three digit number, give equal remainder.find that three digit number. ?

Solution :-

Let us assume that, the required three digit number is x and remainder gets is r .

so,

→ 34046 = a * x + r .

→ 32511 = b * x + r .

subtracting both,

→ 34046 - 32511 = (ax + r) - (bx + r)

→ 1535 = ax - bx

→ x(a - b) = 1535

→ x(a - b) = 5 * 307

now, since 307 is a prime number.

therefore, we can conclude that, the required three digit number is 307 .

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