Find the smallest number which when divided by 18,12,24 leaves a remainder of 16,10 and 22 respectively

LCM of 18, 12, 24 = 72

                                 = 72 + 2

                                 = 74

therefore, T

  • -1

L.C.M of 18, 12, 24 = 72 

72 is completely divisible by 18,12, 24. 

so, minus the remainder from the numbers and the answer is two. So, if we wil add 2 to the numbers we will not get back the same answer if we will divide, so we have to minus 2 from the numbers and then after by dividing we will get back the same remainders.

  • 4

 ADITYA HAS DISPLAYED IN A  WRONG WAY.

  • 3

thanks sheetal and adithya

  • 2

now, you see that the difference between 18, 12, 24 and 16, 10, 22 respectively is 2.


LCM of 18,12,24 = 72


so the number which when divided by these numbers to get the latter numbers is 70.


so that this number is 2 numbers away from being completely divisible in each case and leaves remainders 16, 10, 22 respectively.


18 X 3 + 16 = 70

12 X 5 + 10 = 70

24 X 2 + 22 = 70


hope it helps!!

cheers!!!

thumbs up plzz....

  • 0

 FIND THE L.C.M OF 18,12,AND 24 AND THAT IS 72 AND SO 72 IS DIVISIBLE WITH ALL OF THESE. SO SUBTRACT THE REMAINDERS FROM THE GIVEN DIVISORS AND THE ANSWER IS 2 IN EACH . SUBTRACT 2 FROM 72 ALSO AND WE GET 70 AS THE ANSWER AND WHAT A SURPRISE WE ARE GETTING BACK THE SAME REMAINDER.                                                                                                                                                                                          18*3+16=70                                                                                                                                                                                                                  12*5+10=70                                                                                                                                                        24*2+22=70        

                                                                                                                                                          HOPE IT WILL HELP YOU!

  • 1

The LCM of 18,12,and 24 =72. We want the answer 16,10 and 22. Now the difference is 2 in each case

18-2=16 / 12-2=10 / 24-2=22

So, we have to subtract 2 from the LCM 72 - 2=70 Here is your answer!

  • 5

The LCMof 18,12,and 24 =72. We want the answer 16,10 and 22. Now the difference is 2 in each case

18-2=16 / 12-2=10 / 24-2=22

So, we have to subtract 2 from the LCM 72 - 2=70 Here is your answer!

  • 0
What are you looking for?