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What two numbers are the product of 900 but there sum equal 64?
Wiki User
∙ 11y ago
ANSWER: The two numbers required are not whole numbers. These are 43.135 and 20.865.
Solution 1:
Assuming you want whole numbers:
Prime factorization for 900 is
2 x 2 x 3 x 3 x 5 x 5
You cannot combine these in any way to have a sum that is 64. You can with 65, but not 64.
Solution 2:
Let:
x = first number
y = second number
x * y = 900 (Equation 1)
x + y = 64
x = 64 - y (Equation 2)
Substitute Eq. (2) in Eq. (1):
x * y = 900
(64 - y) y = 900
64y - y2 = 900
- y2 +64y - 900 = 0 (Equation 3)
multiply Eq. (3) by -1
y2 - 64y + 900 = 0
using quadratic equation:
y1 = 43.135 y2 = 20.865
Therefore, the two numbers are 43.135 and 20.865
Wiki User
∙ 11y ago
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