Question

The ratio of two numbers is
1/2. If 2 is subtracted form the first and 8 from the
.
second, the ratio became reciprocal of the original ratio. Find the numbers.​

Answer 1

Step-by-step explanation:

let the first number be X.

let the second number be Y.

original equation will be :-

X/Y=1/2

Y=2x

Therefore, according to questions:-

X-2/Y-8 = 2/1

X-2 = 2(Y-8)

X-2 = 2Y-16

x-2 = 2(2x) -16

x-2 = 4x-16

-2+16 = 4x-x

14 = 3x

x= 14/3

y= 2(14/3) = 28/3