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What is 2 2 2 2 3 3 3 3 4 4 4 4?
It is a pattern. Go up two numbers, go down two numbers.
What are the numbers when you add you get -3 when multiplied you get 40?
There are no two real numbers that do. Using complex numbers, these two do: (-3/2 + i√151/2) & (-3/2 - i√151/2) Two numbers that add to -3 and multiply to -40 are -8 & 5 Two numbers that add to 3 and multiply to -40 are 8 & -5 Two complex numbers that add to 3 and multiply to 40 are (3/2 + i√151/2) & (3/2 - i√151/2)
What numbers have a sum of 2 numbers is 6.5 and has a product of 10.5?
The numbers are 3 and 3.5
What two numbers bigger than 40 have 2 and 3 as their only prime factors?
42, 48 are the two numbers bigger than 40 that have 2 and 3 as their only prime factors.
What are the two smallest numbers whose gcf is 9 and whose LCM is 54?
The two numbers 18 and 27. Factorising the lcm and gcf gives: 54 = 2 × 3³ 9 = 3² There must be 3² in both numbers, but there must be a 3³ and a 2 which must appear in the prime factorisations of the two numbers. Putting a 2 with one 3² and a 3 with the other 3² leads to the two numbers: 2 × 3² = 18 3 × 3³ = 3³ = 27 as the two smallest numbers with gcf=9 and lcm=54. The other distribution of both 2 and 3 with one 3² results in the two number 3² = 9 and 2 × 3³ = 54, the latter of which is larger than both the 18 and 27 previously found.
