One number is 33 times a first number. a third number is 100 more than the first number. if the sum of the three numbers is 310310, find the numbers.

Create some expressions.

1# number: x

2# number: 33x

3# number: 100 + x

this all equals to 310310 when added so

x+33x+(x+100) = 310310

Solve what you know first then rearrange it.

34x + x + 100 = 310310

35x = 310310-100

35x = 310210

x = 310210/35

x = 8863.142857

Substitute the x into the expressions made and you'll find the 2# and 3# number. You've already found the 1# number since it's only x.