27. Find the number lying between 900and 1000 which when divided by 38

1.	27. Find the number lying between 900and 1000 which when divided by 38and 57 leaves in each case a remainder23.33.
Answer» Answer:935 The least common multiple of 38 and 57 is 114 and the multiple which is between 900 and 1000 is 912. Now, 912 + 23 i,e 935 lies between 900 and 1000 and when divided by 38 and 57 leaves in each case 23 as the remainder. Therefore, 935 is number required.

27. Find the number lying between 900and 1000 which when divided by 38and 57 leaves in each case a remainder23.33.

Answer»

Answer:935

The least common multiple of 38 and 57 is 114 and the multiple which is between 900 and 1000 is 912.

Now, 912 + 23 i,e 935 lies between 900 and 1000 and when divided by 38 and 57 leaves in each case 23 as the remainder.

Therefore, 935 is number required.