simple algebraic puzzle .....
Q. xyz+xyz+xyz=zzz
Find the value of xyz?
condition: values of xyz must be same throughout the expression.
Find the value of xyz?
condition: values of xyz must be same throughout the expression.
Replies
-
Anoop Kumarx=1
y=8
z=5 -
Abhishek Rawal
But that doesn't satisfies the equation.ianoopx=1
y=8
z=5
As per your answer, xyz=40, Hence LHS = 40+40+40 = 120. RHS = zzz = 5^3 = 125.
LHS != RHS -
Anoop Kumar185+185+185 = 555 😛
-
Abhishek RawalBloody hell!
I thought question is : x*y*z + x*y*z + x*y*z = z*z*z [^_^] -
rahul69
If that is the case, then :Abhishek RawalBloody hell!
I thought question is : x*y*z + x*y*z + x*y*z = z*z*z [^_^]
x=3;
y=4;
z=6;
xyz+xyz+xyz=(3*4*6+3*4*6+3*4*6)=216=6*6*6=z*z*z
😏 -
Shailaja TiwariWow ,great you're absolutely right @ianoop.But how did you get this answer .I mean the logic if you could share would be of great help .I'd tried solving the question in several ways(including trial and error method too but couldn't get it .)
Such questions are generally asked in BARC's RMO. -
Abhishek Rawal@#-Link-Snipped-#
3xyz = zzz => xyz = zzz/3
Take value of zzz = 111,222,333 upto 999.
Only one will satisfy the condition & that is 555.
Hence 555/3 = 185
So, x=1, y=8 & z=5 -
Anoop KumarI started from 3 digit number multiplied by 3 = zzz
start from unit place.
3*z should have z at the unit place.
start from possibilities 3*1=3, 3*6=18 you can come up with 3*5 = 15.
now you got 5 at unit place and carry 1 that means now you need a number with
3*y should have 4 at unit place, so adding a carry 1 will result 5.
and same way you can find value of x.
I hope this way is simple.
May be there Could be other simpler approach. -
boombastik85Rahul 69 is right! xyz is x*y*z, 185 is an interesting answer but does not fit into rules of algebra
You are reading an archived discussion.
Related Posts
Hi, i'm studying btech 4 year mechanical in India. I am preparing to write Gre as i'm interested in doing ms in US. As i went through many articles ,...
Maruti Suzuki has yet again made its comeback by introducing all new Maruti Suzuki’s “Swift XDI” edition which will be a limited one and we feel sorry because this cute...
Google has always been on the forefront of pursuing innovation in technology (hardware and software), and now they are venturing into a new domain which includes looking for improvements and...
We all have been waiting for Grand Theft Auto V for more than a year with Rockstar Games putting up teasers quite often and building up the excitement. With it's...
Samsung recently had launched its Galaxy Note 3 and now to set things right, Nvidia is here with the Tegra Note. It is a 7 inch pen-enabled Android tablet which...