Question

Iulian s-a gandit la un numar ,l-a adunat cu 1 pe 3 ,suma a inmultit - o cu 3 pe 47,produsul l-a micsorat cu 1 pe 2 ,diferenta a impartit- o la 35 pe 2,la cat a adunat 4 pe 7 si a obtinut 1.La ce numar s-a gandit iulian ?

Answer 1

Răspuns:

$((x + \frac{1}{3} ) \times \frac{3}{47} - \frac{1}{2} ) \div \frac{35}{2} + \frac{4}{7} = 1 \\ ((x + \frac{1}{3} ) \times \frac{3}{47} - \frac{1}{2} ) \div \frac{35}{2} = 1 - \frac{4}{7} \\ ((x + \frac{1}{3} ) \times \frac{3}{47} - \frac{1}{2}) \div \frac{35}{2} = \frac{3}{7} \\ ((x + \frac{1}{3} ) \times \frac{3}{47} - \frac{1}{2} ) = \frac{3}{7} \times \frac{35}{2} \\ (x + \frac{1}{3} ) \times \frac{3}{47} - \frac{1}{2} = \frac{15}{2} \\ (x + \frac{1}{3} ) \times \frac{3}{47} = \frac{15}{2} + \frac{1}{2} \\ (x + \frac{1}{3} ) \times \frac{3}{47} = 8 \\ x + \frac{1}{3} = 8 \div \frac{3}{47} \\ x + \frac{1}{3} = 8 \times \frac{47}{3} \\ x = \frac{8 \times 47}{3} - \frac{1}{3} \\ x = \frac{376}{3} - \frac{1}{3} \\ x = \frac{375}{3} \\ x = 125$