The weight of an object is equal to 3/4 of its own weight plus 3/4of a pound. What is the weight?

The weight of the object is 3 kg.

Step-by-step explanation:

Step 1:

Let object weight be x kg.

Now, as per the available data,

3/4 kg + 3/4 (x kg) = x kg

Step 2:

3/4 (1 + x) = x

1 + x = 4x/3

1 = x (4/3 - 1)

x = 1 / (1/3)

x = 3

Weight of Object is 3 kg.

Step 3:

Let's check if this value satisfies the first equation.

3/4 + 3/4 x 3 = 3/4 + 9/4 = 12/4 = 3

Hence proved.