when i am rounded to the nearest ten, i am 80. the sum of my two digits is 15. what number am i?
When I am rounded to the nearest hundred, i am 400. The digit in my tens place is 4 more than the digit in my hundreds place. The digits in my hundreds place and ones place are the same. What number am I ?
"the sum of my two digits is 15" ---->
the number can only be one of
78 87 69 96
Which of those would round off to 80 ?
78
To find the number you are, we can list down the possible numbers and check if each number satisfies the given conditions.
Let's suppose the two digits of the number are x and y.
We know that when rounded to the nearest ten, the number is 80. This means the number is between 75 and 85 (because when rounded, it could be either 70, 80, or 90).
Now, we are given that the sum of the two digits (x and y) is 15.
Let's check the possible values for x and y within the range we found (75 to 85) so that their sum is 15:
75: 7 + 5 = 12
76: 7 + 6 = 13
77: 7 + 7 = 14
78: 7 + 8 = 15
79: 7 + 9 = 16
80: 8 + 0 = 8
81: 8 + 1 = 9
82: 8 + 2 = 10
83: 8 + 3 = 11
84: 8 + 4 = 12
85: 8 + 5 = 13
From the list above, we see that the only number where the sum of the digits is exactly 15 is 78. Therefore, the number you are is 78.