Mark B. answered • 10/14/18

PhD Candidate in Psychology: Experienced Math, Statistics, Tutor

Hello Lily,

So, first we want to assign some expressions for these numbers, fair enough?

x = the first number **<----the first number is not identified in the problem**

2x = the second number **<----the second number is 2 times the first**

2x - 16 = the third number **<----the third number is 16 less than the second**

Now, we are told the sum of these three expressions will be 85, okay?

x + 2x + 2x - 16 = 85 **<----let's combine like terms**

5x -16 = 85 **<----let's solve for x, okay?**

5x = 101

**x = 20.20 <----the first number**

Now, let's substitute our value of x, to determine the other numbers.

2x = 2 (20.2) = **40.4 <----the second number**

2x - 16 = 2(20.2) -16 = 40.4 -16 = **24.4 <----the third number**

Now, let's check our work, okay?

20.20

40.40

24.40

-------

85.00

Yes, the number's check and the solution is valid.

I hope this assists you and that you have a great week. Should you have any feedback or further questions on this solution, please feel free to post under this solution in the comment section. If you need further assistance, please feel free to reach out to **any **tutor. Best!