3. In order to win the grand prize, Benny has to crack this secret code. Given the clues, help Ben to crack the code. 83__65 (a) The third digit is greater than the second digit. (b) The difference is 3 when the third digit is subtracted from the fourth one. (c) When the sum of all the numbers is divided by 5, it has a remainder of 3. (d) When the sum of all the numbers is divided by 6, it also has a remainder of 3.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.CR: Review Problem Set
Problem 35CR
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3. In order to win the grand prize, Benny has to crack this secret code. Given the clues, help
Ben to crack the code.
83
65
(a) The third digit is greater than the second digit.
(b) The difference is 3 when the third digit is subtracted from the fourth one.
(c) When the sum of all the numbers is divided by 5, it has a remainder of 3.
(d) When the sum of all the numbers is divided by 6, it also has a remainder of 3.
4. Ten people can sit around a rectangular table for a meal. When two such tables are
joined side by side, 18 people can sit around the two tables. When three such tables are
joined sided by side, 26 people can sit around the three tables. How many such rectangular
tables are needed for 90 people to sit together?
Transcribed Image Text:3. In order to win the grand prize, Benny has to crack this secret code. Given the clues, help Ben to crack the code. 83 65 (a) The third digit is greater than the second digit. (b) The difference is 3 when the third digit is subtracted from the fourth one. (c) When the sum of all the numbers is divided by 5, it has a remainder of 3. (d) When the sum of all the numbers is divided by 6, it also has a remainder of 3. 4. Ten people can sit around a rectangular table for a meal. When two such tables are joined side by side, 18 people can sit around the two tables. When three such tables are joined sided by side, 26 people can sit around the three tables. How many such rectangular tables are needed for 90 people to sit together?
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