Question

Two numbers are in the ratio 2:5 if 16 is added to them their ratio becomes 1:2 the numbers are??

Answer 1

Answer:

The numbers are 32 and 80.

Step-by-step explanation:

Let the two numbers be 2x and 5x.

$\frac{2x + 16}{5x + 16} = \frac{1}{2} \\ \implies \: 2(2x + 16) = 5x + 16 \\ \implies \: 4x + 32 = 5x + 16 \\ \implies \: x = 16$

x = 16

The two numbers are 32 and 80.