SOLUTION: there are two positive integers x and y. when X is divided by 237, the remainder is 192. When Y is divided by 117 the quotient is the same but the remainder is 108. Find the remain
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Question 966372: there are two positive integers x and y. when X is divided by 237, the remainder is 192. When Y is divided by 117 the quotient is the same but the remainder is 108. Find the remainder when the sum of X and Y is divided by 118.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
1.
2.
3.
where , are integers.
.
.
.
From eq. 1,
From eq. 2,
From eq. 3,
Then the sum becomes,
The remainder is zero.
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