need help how to solve rounding riddles?
rounded to the nearest ten. I am 170.
The sum of my digits is 14.
165, 166, 167, 168, 169, 171, 172, 173, 174
Which number has digits that add up to 14?
To solve this rounding riddle, you need to find a number that when rounded to the nearest ten is 170 and has a digit sum of 14. Here's how you can approach this problem:
Step 1: Understand the problem
First, you need to understand what it means when a number is "rounded to the nearest ten." Rounding to the nearest ten means that you keep the tens digit the same but change the units digit to zero if it is less than 5 or increase it to 10 if it is 5 or greater. For example, if you round 173 to the nearest ten, it becomes 170 because the tens digit remains 7, and the units digit is changed to 0.
Step 2: Determine the possible tens digit
In this riddle, we know that when the number is rounded to the nearest ten, it becomes 170. Therefore, the tens digit should be 1. This is because rounding 170 to the nearest ten would give us 170 itself.
Step 3: Find the possible units digit
Now that we have determined the tens digit, we need to find the possible units digit that would make the digit sum equal to 14. In this case, the digit sum is the sum of the tens digit and the units digit. Since the tens digit is 1, we need to find a number that, when added to 1, gives us 14. Therefore, the units digit would be 14 - 1 = 13.
Step 4: Finalize the solution
From step 3, we have found that the number we are looking for has a tens digit of 1 and a units digit of 13. Therefore, the number is 113, and when rounded to the nearest ten, it becomes 170.
So, the number is 113.