Question

If (3x-2): (7x-5) is the duplicate ratio of 2:3, then the value of x is​

Answer 1

Answer:

$x = \frac{4}{5}$

Step-by-step explanation:

$(3x - 2):(7x - 5) = 2:3 \\ \frac{3x - 2}{7x - 5} = \frac{2}{3} \\ Cross \: multipy \\ 2(7x - 5) = 3(3x - 2) \\ 14x - 10 = 9x - 6 \\ 14x - 9x = ( - 6) + 10 \\ 5x = 4 \\ x = \frac{4}{5} \\ Therefore, \: the \: value \: of \: x \: is \: \frac{4}{5} .$