find the greatest 4 digit number which when divided by 16 24 30 and 36 leaves the remainder 10 in each case
Answers
Answer:
Step-by-step explanation:
Step 1: Know the greatest 4 digit number which is 9999
Step 2: Find the LCM of the given numbers which 36, 30, 24 and 16
i.e The LCM of given numbers is 720
Step 3: Divide the greatest 4 digit number by 720 and find the remainder
720 ) 9999 (13
- 720
------------------
2799
- 2160
------------------
639
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Step 4: Subtract the remainder from the greatest 4 digit number (or) multiply 720 and the quotient.
Note: You can do any one of these because the answer is same.
We get 9360 after subtraction or multiplication. 9360 is the greatest 4 digit number which perfectly divisible with 30, 36, 24 and 16.
Step 5: Add 13 to the number which came after step 4.
i.e 13+9360= 9373
The answer is 9373
Hope it helps.
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