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Dmitriy789 [7]
3 years ago
14

When 21 is divided by j, the remainder is 3. if j is less than 9, what is the remainder when 30 is divided by j? explain your an

swer?
Mathematics
1 answer:
SashulF [63]3 years ago
7 0

21/j = i + 3/j  ; where i is an integer

21/j = ij/j + 3/j

21 = ij + 3

18 = ij

Since j is less than 9, the only options for i are 3, 6, & 9.  <em>3 can be eliminated because it is evenly divided into 21 (therefore no remainder of 3). </em>So the only options for j are 6 and 3.

30/6 = 5 with no remainder              30/3 = 10 with no remainder

Answer: remainder is 0


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