Seth has one less than twice the number of compact discs (CDs) that Jason has. Raoul has 53 more CDs than Jason. If Seth gives Jason 25 CDs, Seth and Jason will have the same number of CDs. How many CDs did each of the three boys have to begin with?

Question

Kiana Sawyer

Mathematics

21 May, 18:38

Seth has one less than twice the number of compact discs (CDs) that Jason has. Raoul has 53 more CDs than Jason. If Seth gives Jason 25 CDs, Seth and Jason will have the same number of CDs. How many CDs did each of the three boys have to begin with?

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Answers (1)

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Jacquelyn Byrd · Answer 1

S = 2J - 1

R = J + 53

S - 25 = J + 25 ... S = J + 50

2J - 1 = J + 50

2J - J = 50 + 1

J = 51 <===Jason has 51 CD's

R = J + 53

R = 51 + 53

R = 104 <===Raoul has 104 CD's

S = 2J - 51

S = 2 (51) - 1

S = 102 - 1

S = 101 <===Seth has 101 CD's