Question

Solve of find the greatest four digit number which when divided by 20,30,35 and 45 leaves reminder 12 in each case

Answer 1

Answer:

The greatest four digit number = 9999

Step 1: find the L.C.M. of 20, 30, 35 and 45

L.C.M.=1260

Step 2:  divide 9999 by 1260. we get the remainder 1179

Step 3: subtract 1179 from 9999

9999-1179=8820

Step 4: 8820 is exactly divisible by 20, 30, 35 and 45

Step 5: Add 12 and 8820

8820+12=8832

Therefore the required number=8832