Justin weighs 15 pounds less than Greg weighs. Half of Greg’s weight is 75 pounds less than Justin’s weight. How much does each of them weigh?

Given: 

Justin weighs 15 pounds less than Greg weighs.

Half of Greg’s weight is 75 pounds less than Justin’s weight.

Let, Justin's weighs be x and Greg's weight be y.

According to the question,

x = y - 15 ------(i)

1/2 y = x - 75 ------(ii)

Substituting the value of x from equation (i) in equation (ii), we get

1/2 y = ( y - 15 ) - 75

1/2 y = y - 15 - 75

1/2 y = y - 90

Multiplying both side by 2, we get

y = 2 y - 180

y - 2 y = - 180

- y = - 180

y = 180

Putting value of y in equation (i), we get

x = 180 - 15 = 165

So, weighs of Justin is 165 pounds and weighs of Greg is 180 pounds.