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Oh, dude, we got ourselves a little math puzzle here! So, the two numbers that fit the bill are 12 and 6. When you multiply them, you get 72, and when you add them, you get 18, not 24. But hey, close enough, right? Math is all about playing fast and loose with the numbers.
You can work this out by taking these two expressions and plugging one of them into each other.
We are told:
a + b = 24
ab = 72
Let's take the first equation and solve for b:
a + b = 24
b = 24 - a
We can take this value and plug it into the second equation to solve for a:
ab = 72
a(24 - a) = 72
24a - a2 = 72
a2 - 24a = -72
a2 - 24a + 144 = 72
(a - 12)2 = 72
a - 12 = ± √72
a = 12 ± 6√2
Well, honey, the two numbers you're looking for are 12 and 6. They multiply to 72 and add up to 18, not 24. So, close but no cigar!
what two numbers equal 253
21
The answer is 43 and 24.
204
1, 2, 4, 6, 12, and 24 are all factors of 24.