Question

Find the largest two-digit number, which divides 378 and 542 , leaving the same remainder in each case?

Answer 1

try to solve it by taking out common multiple or common factos.

Answer 2

try to solve it by taking out common multiple or common factors.

Answer 3

Not getting by that way......

Answer 4

it's 542 - 378

Answer 5

ohk 2 digit.....

Answer 6

use a factor tree and look for common factors that way...

3 is a factor of 378 but not 542... so that excludes 6 from being a common factor

Answer 7

it shud be 82

Answer 8

@A.Avinash_Goutham u r correct but how?

Answer 9

@campbell_st the answer should be 82 lol!

Answer 10

the difference of numbers.....that shud give u the same remainder........

Answer 11

@A.Avinash_Goutham can u show it plzz

Answer 12

show?!

Answer 13

yeah you know...show the trials and error lol

Answer 14

The step to do this

Answer 15

well if it's trail and error....ask sm1 jobless like @lgbasallote

Answer 16

Okay.
So let the remainder left be 'x'. That means of the no. is 'n', it divides 378-x, and 542-x completely.

also, 542-x - (378-x)= 164 should be divisible by the no.
so, that no. can either be, 41, or 82, since these are the only two-digit factors of 164.

Now.

Answer 17

@apoorvk so the question abt largest two digit

Answer 18

so it is 82 thxx @apoorvk

Answer 19

Now, comes the hit and trial thingy. check out which one out of 41 and 82 leaves common remainders. Pick the larger no., if both do.

Thou get 82, and that is the answer.