One number is 6 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 820?, find the numbers.

90, 540, and 190

Step-by-step explanation:

To write an equation or expression for the numbers, first define the variables.

The "first number" is x.

"6 times a first number" is 6x. This is the second number.

"100 more than the first number" is 100+x. This is the third number.

All together, they add to 820.

x+6x+100+x = 820

8x + 100 = 820

8x = 720

x = 90

So the first number is 90. The second number is 6x = 6*90 = 540. The third number is 100+x = 100+90 = 190.