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

Mathematics

Naomi Deleon

29 March, 19:43

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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Angelina Thompson · 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