Question

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?

Answer 1

Justin=JGreg=G
Information we have:J+15=GG/2=J-75
Since J+15=GJ = G-15We now replace J in the second equationG/2=(G-15)-75G/2=G-90G=(G-90)*2G=2G-180G-2G=-180-G=-180G=180
Greg = 180 poundsJustin = 165 pounds

Answer 2

Answer: The weight of Justin is 165 pounds and the weight of Greg is 185 pounds.

Step-by-step explanation: Given that Justin weighs 15 pounds less than Greg weighs and half of Greg’s weight is 75 pounds less than Justin’s weight.

We are to find the weight of Justin and Greg.

Let x pounds and y pounds represents the wights of Justin and Greg respectively.

Then, according to the given information, we have

`x=y-15~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\(1)/(2)y=x-75~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)`

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

`(1)/(2)y=(y-15)-75\\\\\\\Rightarrow (1)/(2)y=y-90\\\\\Rightarrow y=2(y-90)\\\\\Rightarrow y=2y-180\\\\\Rightarrow 2y-y=180\\\\\Rightarrow y=180.`

And, from equation (i), we get

`x=180-15=165.`

Thus, the weight of Justin is 165 pounds and the weight of Greg is 185 pounds.