One number is 4 times a first number. a third number is 100 more than the first number. if the sum of the three numbers is 256 find the numbers.

one number is 104, the first number is 26 and the third number is 126

How to:

Let’s say the “first number” is Y, the “second number” is X, and the “third number” is Z. This makes Y=4x and Z=x+100. Then put it into an equation to find the sum: X+4x+x+100=256. Take away 100 from both sides of the equation and combine the like terms (the X’s). That leaves 6x=156. Then divide both sides by 6 to get x alone which is x=26. That is the first number. To find Y just multiply X by 4 and that’s Y=104. And lastly add 100 to x which is Z=126.