Question

$\frac{1}{2a} = \frac{3}{4b} \\ a + b = 60$
Va rog repede!...​

Answer 1

Explicație pas cu pas:

$\frac{1}{2a} = \frac{3}{4b} \\ 6a = 4b = k \\ a = \frac{k}{6} \\ b = \frac{k}{4 } \\ \frac{k}{6} + \frac{k}{4} = 60 \\ \frac{2k}{12} + \frac{3k}{12} = 60 \\ \frac{5k}{12} = 60 \\ 5k = 60 \times 12 \\ 5k = 720 \\ k = 720 \div 5 \\ k = 144 \\ 6a = 144 \\ 4b = 144 \\ a = 144 \div 6 = 24 \\ b = 144 \div 4 = 36$

succes!