hi, can anyone help out on this question? i don't understand the explanation. thanks in advance!
a is the hundreds digit of the three digit integer x, b is the tens digit of x, and c is the units digit of x. a = 2b = 4c, and a > 0.
What is the difference between the two greatest possible values of x?
Solution:
[spoiler]Solution: D.
If a = 2b = 4c and a, b, and c must all be nonzero single digit integers - if they weren't, they couldn't be digits - then c is either 1 or 2. If c = 1, then b = 2 and a = 4, giving us 421. If c = 2, then b = 4 and a = 8, giving us 842.
The difference between the numbers is thus 842 - 421 = 421 = (D).[/spoiler]
a is the hundreds digit of the three digit integer x, b is the tens digit of x, and c is the units digit of x. a = 2b = 4c, and a > 0.
What is the difference between the two greatest possible values of x?
Solution:
[spoiler]Solution: D.
If a = 2b = 4c and a, b, and c must all be nonzero single digit integers - if they weren't, they couldn't be digits - then c is either 1 or 2. If c = 1, then b = 2 and a = 4, giving us 421. If c = 2, then b = 4 and a = 8, giving us 842.
The difference between the numbers is thus 842 - 421 = 421 = (D).[/spoiler]
