# Answer to Question #14030 in Algebra for Erly

Question #14030

John and dick had a collection of 79 books. After John gave 15 books dick, he had 5 books fewer than dick. How many books did John have at first ?

Expert's answer

Let John had X books and Dick had Y books.

X + Y = 79

(X - 15) + 5 = (Y +

15)

Y = 79 - X

X - 10 = 79 - X + 15

2*X = 79 + 15 + 10

2*X =

104

X = 52

Answer: 52.

X + Y = 79

(X - 15) + 5 = (Y +

15)

Y = 79 - X

X - 10 = 79 - X + 15

2*X = 79 + 15 + 10

2*X =

104

X = 52

Answer: 52.

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