Question

How to find the least number which when divided by 12, 15, 18 , and 30 gives the remainder 6,9,12, and 24, respectively

Answer 1

In this type of questions , we first find LCM of given numbers and then subtract common value to get the answer.
The LCM of 12 , 15,18 and 30=180. We want the answer 6,9,12 and 24. Now the difference is 6 in each case 12-6=6, 15-6=9,18-6=12 and 30-6=24 .
So, we have to subtract 6 from the LCM→180-6=174

So, (180-6=174) will have remainder of 6,9,12,24 when divided by 12,15,18 and 30 respectively.

hope it helps.....

Answer 2

Answer:

(180-6=174) will have remainder of 6,9,12,24 divided by 12, 15, 18, and 30 respectively