All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Just Math
Missing digits (Posted on 2011-06-06) Difficulty: 3 of 5
Replace the interrogation marks in the following statements by appropriate digits (0 to 9) to make these statements valid:

D1: 34?561? is exactly divisible by 45
D2: 68??37 is exactly divisible by 99
D3: 9???057 is equal to 417 times ?1???
D3: 70??34? is exactly divisible by 792
D4: 4?18? is exactly divisible by 101
D5: 6?80?8??51 is exactly divisible by 73*137

No Solution Yet Submitted by Ady TZIDON    
Rating: 3.6667 (3 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
D3-1 by hand | Comment 4 of 8 |

9abc057 = 417*d1efg

d=2, g=1

9abc057 = 417*21ef1

9abc057 = 417*21001 + 417*ef0

9abc057 = 8757417 + 417*ef0

9abc040 = 8757400 + 417*ef0

9abc04 = 875740 + 417*ef so f=2

9abc04 = 876574 + 417*e0

9abc00 = 876570 + 417*e0

9abc0 = 87657 + 417*e so e=9

9abc0 = 91410 so a,b,c = 1,4,1


  Posted by xdog on 2011-06-06 20:30:40
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (1)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information