Question

What is the greatest number of 5 digits which will be divided by
16, 24, 30 and 36, with 10 as remainder in each case ?​

Answer 1

Answer:

Then x-10 is divisible by 16, 24, 30 and 36, according to the condition. It implies that x-10 is divisible by , and . Hence, x-10 is divisible by 16*5*9 = 720. The greatest 5-digits number divided by 720 is 99360 (it is easy to check).

Step-by-step explanation:

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Answer 2

Answer:

Then x-10 is divisible by 16, 24, 30 and 36, according to the condition. It implies that x-10 is divisible by , and . Hence, x-10 is divisible by 16*5*9 = 720. The greatest 5-digits number divided by 720 is 99360 (it is easy to check