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How many positive integers less than 400 are divisible by both 7 and 11?
7 x 11 = 77 400/77 = 5.19.... ==> 5 integers
How many positive odd integers are less than 23?
11. They are 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, and 21.
What are all the positive integers less than 50000 that have 11 divisors?
2. That is the only one. And the 11 divisors are 2k where k = 0, 1, ,2, ... , 10
Find four consecutive odd integers if the product of the two smaller integers is 112 less than the product of the two large integers?
The numbers are 11, 13, 15 and 17.
What are 4 consecutive odd integers where the product of the two smaller integers is 112 less than the product of the two larger integers?
11, 13, 15 and 17(143 is 112 less than 255)The equation is (A)(A+2) = (A+4)(A+6) - 112A2 + 2A = A2 +10A +24 -1122A = 10A - 888A = 88A = 112,5,6
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