Question

11. Two numbers are in the ratio of 5:8 .If 4 is subtracted from each then the ratio become 1:2. The small number is ??​

Answer 1

Answer:

$x = 10 \\ \\ y = 16.$

THE SMALLER NUMBER IS 10.

Step-by-step explanation:

$\frac{x}{y} = \frac{5}{8} \\ \\ x = \frac{5}{8} y \\ \\ \\ \\ \frac{x - 4}{y - 4} = \frac{1}{2} \\ \\ therefore \: \: \: \: \: \: \: \: \:2 (\frac{5}{8} y - 4) = y - 4 \\ \\ \frac{5}{4} y - 8 = y - 4 \\ \\ \frac{5}{4} y - y = 4 \\ \\ \frac{1}{4} y = 4 \\ \\ y = 16 \\ \\ \\ x = \frac{5}{8} \times 16 = 10$