Знайдіть усі натуральні числа a, b, сума яких дорівнює 168 а НСД (a,b)=24.
Предмет:
АлгебраАвтор:
ponchodavidПусть эти числа 24x, 24y (НОД(х,у)=1, x<=y).
24x+24y=168
x+y=7
1) x=1, y=6: a=24, b=24*6=144
2) х=2, у=5: a=48, b=120
3) x=3, y=4: a=72, b=96
4) a=96, b=72
5) a=120, b=48
6) a=144, b=24
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