Question

xinyun🐧

求解謝謝

已知x、y均為正整數,且7x-3y=-11x+9y,
# (x, y) + (x, y) = 42. Hij x?+ ?
(A) 81
B) 100
C) 121
D 144

Answer 1

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Ny-Ålesund

18x = 12y => x : y = 2 : 3 = 2k : 3k
=> 最大公因數 = k，最小公倍數 = 2 × 3 × k = 6k

6k + k = 42 => k = 6

=> x = 12, y = 18