Question

Find the sum of all 2 digit numbers N=ab¯¯¯, where a≠0, such that N divides a0b¯¯¯¯¯.

Answer 1

what is a0b?

Answer 2

The notation a0b¯¯¯¯¯ used in the question means that we read it as a 3-digit number. For example, with a=4,b=8, a08¯¯¯¯¯ represents the number 408, and not the number 4×0×8=0.

Answer 3

a=2 and b=8 fits into the answer.. But i have done it by hit n trail

Answer 4

Howz it fitting into the answer coz 208 doesn't divide 28 completely ?
And also , hit and trial won't be a good idea as well !!!

Answer 5

oh i thought N=a*b..

Answer 6

No ab (with the bar on it) just denotes a two-digit number ab

Answer 7

just tell me the topic this questions falls into i can get beck to u with the answer

Answer 8

Algebra .... algebra and number theory ....

Answer 9

hey a=1 and b=0.

Answer 10

ya.. i got that and 20,30,40,50,60,70,80,90 fit in here also.......... I just want to make sure there are no more possibilities!!!

Answer 11

yes thats true.. only if b=0 and a can be any number.. that only will satisfy the equation

Answer 12

hey one more series... getting more numbers

Answer 13

no ... in that case the answer should be 450 ( sum of 10, 20,.......upto 90) but it is not correct.... it means some numbers are missing...

Answer 14

405 also satisfies

Answer 15

oh yesss...

Answer 16

Are you there hitten???

Answer 17

ohhh....... please reply...

Answer 18

yes yes..

Answer 19

there is no other combination i could find

Answer 20

wait i have pen n paper.. getting more combinations

Answer 21

ya.. i'm also trying but not able to find any other number... but the answer is still incorrect

Answer 22

105.. wait for more

Answer 23

108

Answer 24

I think that's all coz if i haven't missed any , there's no other value here....

Answer 25

even i cant find any

Answer 26

that means the following numbers are here- 10 , 20 , ...upto 90 , 45, 15 , 18.
Is that Right?

Answer 27

yes thats about it.. no other values for a and b

Answer 28

ohhh thank you so much for the help ...
And there iz one more question....
Triangle ABC has ∠BAC=20∘ and ∠ACB=75∘. P is a point in the interior of triangle ABC. Points D,E and F lie on BC,CA and AB, respectively, such that A,E,P,F are concyclic and C,D,P,E are concyclic. What is the measure (in degrees) of ∠DPF?

Answer 29

this might take some time.. im not in touch with these topics.. will have to read to solve it

Answer 30

im in college saloni not in school.. wbu?

Answer 31

what about u?? btw the answer for ur next question is 85