Question

George's page contains twice as many typed words as Bill's page and Bill's page contains 50 fewer words than Charlie's page. If each person can type 70 words per minute, after one minute, the difference between twice the number of words on Bill's page and the number of words on Charlie's page is 220. How many words did Bill's page contain initially?

Answer 1

Given:
George's page contains twice as many typed words as Bill's page
Bill's page contains 50 fewer words than Charlie's page
each person can type 70 words per minute, after one minute, the difference between twice the number of words on Bill's page and the number of words on Charlie's page is 220

Let Charlie's page be x.
Let Bill's page be x - 50
Let George's page be 2(x-50)

After 1 minute:
Charlie's page: x + 70
Bill's page: x - 50 + 70
George's page: 2(x-50) + 70

Difference between George's page and Charlie's page is 220.

[2(x-50) + 70] - (x + 70) = 220
2x - 100 + 70 - x - 70 = 220
2x - x - 100 + 70 - 70 = 220
x - 100 = 220
x = 220 + 100
x = 320

Let Charlie's page be x. → x = 320
Let Bill's page be x - 50 → x - 50 = 320 - 50 = 270
Let George's page be 2(x-50) → 2(x-50) = 2(320-50) = 2(270) = 540 

Bill's page initially contained 270 words.