Question

Find the least multiple of 23 which when divided by 18 21 and 24 leaves remainder 71013 respectively

Answer 1

Step-by-step explanation:

Here (18 - 7) = 11, (21 - 10) = 11, (24 - 13) = 11

LCM of 18, 21 and 24 is 504

Let the required number be 504k - 11

Least value of k for which (504k - 11) is divisible by 23 is k = 6

∴ Required number

= 504 × 6 - 11

= 3024 - 11

= 3013