The number 75 can be written as the sum of the squares of 3 different positive integers. What is the sum of these 3 integers?
- 17
- 16
- 15
- 14
- 13
- 17
- 16
- 15
- 14
- 13
We're looking for 3 DIFFERENT squares that add to 75josh80 wrote:The number 75 can be written as the sum of the squares of 3 different positive integers. What is the sum of these 3 integers?
A) 17
B) 16
C) 15
D) 14
E) 13
Here are the only squares we need to consider: 1, 4, 9, 16, 25, 36, 49, 64
Can you find 3 that add to 75?
After some fiddling, we may notice that 1 + 25 + 49
In other words, 1² + 5² + 7² = 75
We want the SUM of 1 + 5 + 7, which is 13
Answer: E
Cheers,
Brent
