Find the greatest number of four digits which is exactly divisible by ...
Solution:
To find the greatest four-digit number which is exactly divisible by 45 and 50, we need to follow the following steps:
Step 1: Finding the LCM of 45 and 50.
LCM of 45 and 50 = 450
Step 2: Finding the greatest four-digit number which is divisible by 450.
To find the greatest four-digit number which is divisible by 450, we need to divide 9999 by 450 and find the remainder.
9999 ÷ 450 = 22 remainder 99
So, the greatest four-digit number which is divisible by 450 is 9999 - 99 = 9900.
Therefore, the greatest four-digit number which is exactly divisible by 45 and 50 is 9900.
Explanation:
To solve this problem, we need to find the LCM of 45 and 50, which is 450. The LCM is the smallest number which is divisible by both 45 and 50.
Next, we need to find the greatest four-digit number which is divisible by 450. To do this, we need to divide 9999 by 450 and find the remainder. The remainder is the amount by which the number falls short of being divisible by 450. To get the greatest four-digit number which is divisible by 450, we subtract the remainder from 9999.
In this case, the remainder is 99. So, we subtract 99 from 9999 to get the greatest four-digit number which is divisible by 450, which is 9900.
Therefore, the greatest four-digit number which is exactly divisible by 45 and 50 is 9900.
Find the greatest number of four digits which is exactly divisible by ...
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