How many two-digit numbers have a tens digit that is greater than the units digit? Explain.
45 NUMBERS
Please solve it ?
Thanks
45 numbers,
Notice that for each tens digit from 10, the number of unit digits smaller than the tens digit goes up by 1. The number of unit digits that are smaller than the tens digit in “10s” is 1. There is 2 in the “20s”, 3 in the “30s” and so on all the way up to 90. So, it’s 1+2+3+4+5+6+7+8+9=45
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What of the solution ?
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Are you mad google ?
Translated for you
It is absolutely correct
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You
To solve this problem, we need to determine the number of two-digit numbers where the tens digit is greater than the units digit.
First, let's identify the possible range of values for the tens and units digits. In a two-digit number, the tens digit can be any value from 1 to 9, since it cannot be zero. The units digit can be any value from 0 to 9.
Now, we need to count the number of combinations where the tens digit is greater than the units digit. To do this, we can consider each pair of tens and units digits and count the number of valid combinations.
If the tens digit is 1, there are no valid combinations since any units digit (0 to 9) will be greater than 1.
If the tens digit is 2, the units digit can be any value from 0 to 1 (inclusive), resulting in two valid combinations (20 and 21).
Similarly, if the tens digit is 3, the units digit can be any value from 0 to 2 (inclusive), resulting in three valid combinations (30, 31, and 32).
Following this pattern, we can see that for each tens digit from 1 to 9, the number of valid combinations is equal to the units digit. So, for each tens digit, the number of valid combinations is equal to the units digit.
Therefore, the total number of two-digit numbers with a tens digit greater than the units digit is:
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = 45
Hence, there are a total of 45 two-digit numbers where the tens digit is greater than the units digit.
There are 89 two-digit numbers (10-99). The tens digits are higher in 10, 20, 21, 30, 31, 32 etc.
Count them up.