Whats the product
The sum of three consecutive integers is 72.
What is the product of the smallest and the largest integer?An inter-species meeting on Mars
100 aliens attended an inter-species meeting on Mars. 76 of them needed breathing apparatus, 52 needed shaded goggles, but 23 aliens didn’t need either. How many aliens needed breathing apparatus goggles?
Let the three consecutive integers be:
ReplyDeletex, x + 1, x + 2
Their sum is 72, so:
x + (x + 1) + (x + 2) = 72
Simplify:
3x + 3 = 72
Subtract 3:
3x = 69
Divide by 3:
x = 23
So the integers are:
23, 24, 25
Now multiply the smallest and largest:
23 × 25 = 575
Answer: 575