Riya writes a number greater than 176 in her notebook. She erased the ...
The first two digits of the three-digit number that Riya wrote is 1 and 7.
The number written by Riya is greater than 176.
When we write 8 as the last digit after 17, we get 178.
178 is greater than 176.
So, the digit at the ones place of the number was 8.
Hence, Riya erased 8 by mistake.
Riya writes a number greater than 176 in her notebook. She erased the ...
Explanation:
Let the number that Riya wrote be 'x'.
According to the question, the number formed after erasing the last digit is 17.
Therefore, the last two digits of 'x' are 17.
We know that 'x' is greater than 176.
Therefore, the hundreds digit of 'x' must be greater than or equal to 2 (i.e., 17 with a tens digit of 0 is 170 which is less than 176).
Let the hundreds digit of 'x' be 'y'.
Therefore, the value of 'x' is y17.
We also know that 'x' is greater than 176.
Therefore, y17 is greater than 176.
This means that y is greater than or equal to 2.
If the last digit of 'x' is 'p', then the value of 'x' is yp7.
We know that yp7 is greater than 176.
Therefore, (y+1)00 is less than or equal to yp7 and also less than (y+2)00.
This means that (y+1)00+17 is less than or equal to yp7+17 which is less than (y+2)00.
Therefore, (y+1)17 is less than or equal to 'x' which is less than (y+2)00.
From the given options, only the digit 8 satisfies this condition.
Therefore, the digit that Riya erased in the ones place is 8.