х + у = 77
(2/3)х = (4/5)у
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х = 77 - у
2/3 · (77 - у) = (4/5)у
154/3 - (2/3)у = (4/5)у
154/3 = (2/3)у + (4/5)у
154/3 = (10/15)у + (12/15)у
154/3 = (22/15)у
у = 154/3 : 22/15
у = 154/3 · 15/22 = (7·5)/(1·1)
у = 35
х = 77 - 35
х = 42
Ответ: (42; 35).
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Проверка:
2/3 · 42 = 4/5 · 35
2 · 14 = 4 · 7
28 = 28
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Verified answer
х + у = 77
(2/3)х = (4/5)у
- - - - - - -
х = 77 - у
2/3 · (77 - у) = (4/5)у
154/3 - (2/3)у = (4/5)у
154/3 = (2/3)у + (4/5)у
154/3 = (10/15)у + (12/15)у
154/3 = (22/15)у
у = 154/3 : 22/15
у = 154/3 · 15/22 = (7·5)/(1·1)
у = 35
- - - - - - -
х = 77 - у
х = 77 - 35
х = 42
Ответ: (42; 35).
- - - - - - - - - - - - - - - - - - - - - - -
Проверка:
2/3 · 42 = 4/5 · 35
2 · 14 = 4 · 7
28 = 28