х+0,2х+1/6 х=1
1,2х+1/6 х=1
1 1/5 х + 1/6 х=1
(1 6/30+5/30) * х=1
1 11/30 х=1
х=1 : 1 11/30
х=1 : 41/30
х=30/41 - искомое число.
30/41 + 30/41 * 2/10+30/41 * 1/6=30/41+6/41+5/41=41/41=1 - верно.
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Verified answer
х+0,2х+1/6 х=1
1,2х+1/6 х=1
1 1/5 х + 1/6 х=1
(1 6/30+5/30) * х=1
1 11/30 х=1
х=1 : 1 11/30
х=1 : 41/30
х=30/41 - искомое число.
30/41 + 30/41 * 2/10+30/41 * 1/6=30/41+6/41+5/41=41/41=1 - верно.