Question

what will be the least multiple of 23 which when divide by 18, 21, and 24 leaves reminders 7, 10 and 13 respectively​

Answer 1

Step-by-step explanation:

What is the least multiple of 23, which when divided by 24, 21, and 18 leaves the remainders 13, 10, and 7 respectively?

Don’t miss vaccination. Lockdown diseases, not childhood.

LCM of 24, 21 and 18 is 504.

As 24-13=11 and 21-10=18-7=11 the required number is 504k-11. The condition is that this number should be the least number to be divisible by 23.

=483k + 21k-11

483×6 +(21×6-11)

2898+105=3013