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Im confused and don't know were to start can anyone explain

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Let x be a positive integer such that $$9x\equiv 1\pmod{25}$$. What is the remainder when 11+x is divided by 25?

Apr 24, 2019

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We have to find a multiple of 9, that when divided by 25 leaves a remainder of 1.

Therefore, 126 is congruent to 1(mod25)...so x = 126 / 9 = 14.

Thus, 14+11=25 and dividing this result by 25 leaves a remainder of 0.

-tertre

Apr 24, 2019