mark hid a 10 bill inside his favorite book. he forgot the pages where he hid it. is the sum of the pages where the bill is hidden is 177, on what pages will mark find his money
177/2 = 88.5
What are the two page numbers?
If the sum is 177 and there are two pages involved, that is 177/2 = 88.5. Therefore, the bill must be between page 88 and 89, To check that, does 88 + 89 = 177?
To determine on what pages Mark will find his money, we need to find the two page numbers that add up to 177.
Let's assume that Mark hid the bill on page X and page Y. We can set up the following equation:
X + Y = 177
Now, we need to find two numbers that add up to 177. There are several possible combinations, so we will use a systematic approach to find the answer.
1. Start by assuming X is the first page, and Y is the last page:
X = 1
Y = 177
Sum = X + Y = 1 + 177 = 178 (not 177)
2. Try with X as the second page and Y as the second-to-last page:
X = 2
Y = 176
Sum = X + Y = 2 + 176 = 178 (not 177)
3. Continue with this approach, moving X forward and Y backward, until we find the correct sum:
X = 3
Y = 175
Sum = X + Y = 3 + 175 = 178 (not 177)
X = 4
Y = 174
Sum = X + Y = 4 + 174 = 178 (not 177)
X = 5
Y = 173
Sum = X + Y = 5 + 173 = 178 (not 177)
...and so on...
Finally, when we reach:
X = 88
Y = 89
Sum = X + Y = 88 + 89 = 177
We have found the solution! Mark will find his money on pages 88 and 89.