Question

Find the smallest number 4 digit number, when divided by 7, 9 and 11 leaves a remainder of 3, 5 and 7 in each case.​

Answer 1

Answer:

1388

Step-by-step explanation:

Since the difference between the divisor and remainder is the same in each case, 7-3 = 9-5 = 11-7 = 4, the answer will be the smallest 4 digit LCM of 7, 9 and 11, -4.

LCM of 7, 9 and 11 = 7 x 9 x 11 as they are prime to each other = 696.

Smallest 4 digit multiple of the LCM = 696 x 2 = 1392.

Number = 1392 - 4 = 1388.