Q: What two digit numbers are greater than 80 and divisible by 2 and 3?

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There are 278 5-digit numbers less than 20,000 that are divisible by both four and nine.

84

U={whole number greater than 10 but smaller than 30 } X={numbers divisible by 3 } Y Odd numbers

56 of them.

Yes. If a number is divisible by 9 it is also divisible by 3 so "is divisible by 3 and 9" can just say "is divisible by 9". The only numbers that this can be applied to is 9, 90, 900, 9000 and so on. The difference of digits can only be 9 if one of them is 9 and all of the rest of the digits are 0, since there is no digit greater than 9 (in base 10) and 9 minus anything greater than 0 is less than 9.

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78,84,90,96

How many two digit numbers are there in which the tens digit is greater than the oneβs digit ?

18 numbers are there

There are 278 5-digit numbers less than 20,000 that are divisible by both four and nine.

801

There are 45 of them.

84

U={whole number greater than 10 but smaller than 30 } X={numbers divisible by 3 } Y Odd numbers

0.45 is greater than 0.067 When determining greater, start by lining up the numbers at the decimal point and compare the digit farthest left in both numbers. This works for any pair of numbers. 0.45 0.067 Since the first digit in both numbers is the same, we move on to the next digit. 4 is greater than 0, which means 0.45 is greater than 0.067

810

When the last digit is zero. All whole numbers of more than one digit and with a last digit of 0, 2, 4, 5, 6 or 8 are divisible by another number. Numbers ending with the other digits, 1, 3, 7 and 9, might be divisible by another number, and they might not.

They are all the numbers divisible by 2 with no remainder