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5 va rog frumos mult de tot​

5 Va Rog Frumos Mult De Tot class=

Răspuns :

[ ( a + 15, 5 - 10, 5 ) : 3 + 75 ] × 2 = 190

( a + 15, 5 - 10, 5 ) : 3 + 75 = 190 : 2

( a + 15, 5 - 10, 5 ) : 3 + 75 = 95

( a + 15, 5 - 10, 5 ) : 3 = 95 - 75

( a + 15, 5 - 10, 5 ) : 3 = 20

a + 15, 5 - 10, 5 = 20 × 3

a + 15, 5 - 10, 5 = 60

a + 15, 5 = 60 + 10, 5

a + 15, 5 = 70, 5

a = 70, 5 - 15, 5

a = 55 => numărul

Răspuns:

[tex]x\in\{55,56,57\}[/tex]

Explicație pas cu pas:

[tex](\lfloor\frac{x + 15,5 - 10,5}{3}\rfloor + 75)\cdot 2 = 190\Big | \div 2\\\\\lfloor\frac{x + 15,5 - 10,5}{3}\rfloor + 75 = 95\Big | - 75\\\\\lfloor\frac{x + 5}{3}\rfloor = 20\\\\x+5 : 3 = 20 \: rest \: r, r < 3\\ x+5 = 3\cdot 20 + r = 60 + r\\\\x = 60-5+r = 55+r\\\\r = 0\implies x = 55 + 0 = 55\\\\r = 1\implies x = 55+1 = 56\\\\r = 2\implies x = 55+2 = 57\\\\x\in\{55,56,57\}[/tex]