Question

1. Find the greatest number of four digits which is exactly divisible by 45 and 50.​

Answer 1

Answer:900

Step-by-step explanation:

Answer 2

Given:

The greatest four digit number which is exactly divisible by 45 and 50.​

To find:

The greatest number of four digits which is exactly divisible by 45 and 50.​

Solution:

The greatest four digit number is 9999

To find the greatest four digit number which is exactly divisible by 45 and 50.​

We have to find the LCM of 45 and 50.

45 = 3 × 3 × 5

50 = 2 × 5 × 5

LCM = 2 × 3 × 3 × 5 × 5

LCM of 45 and 50 is 450

Now, divide 9999 by 450

By dividing, we get 22 as quotient and 99 as remainder.

Subtract 99 from 9999,

9999 - 99 = 9900

Therefore,

The greatest number of four digits which is exactly divisible by 45 and 50

is 9900

Final answer:

The greatest four digit number which is exactly divisible by 45 and 50

is 9900.