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Zach has a two numbers that have a difference of 9 and a sum of 18 what two numbers does Zach have?
Wiki User
∙ 15y ago
Two numbers: x, y.
Difference: x-y = 9 (assuming x is greater than y).
Sum: x+y = 18.
Two equations, two unknowns. Solve for x or y on either equation: x = 9 + y (from the difference formula). Plug that x into the sum formula (plugging it into the difference formula would get you 9 = 9, which doesn't help us):
x + y = 18
(9 + y) + y = 18 (no more x)
9 + 2*y = 18
Solve for y:
2*y = 18-9 = 9
y = 9/2 = 4.5.
Plug this number back into either formula:
x + y = x + 4.5 = 18
x = 18-4.5 = 13.5
So x = 13.5, y = 4.5. Test to make sure it's right:
13.5 - 4.5 = 9 (we said x was greater than y)
13.5 + 4.5 = 18
This solution is unique which means that these (13.5 and 4.5) are the only numbers that satisfy you're criteria.
Wiki User
∙ 15y ago
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