The sum of two numbers is 87. The difference of the same to numbers is negative 111. Find the numbers.
1 answer:
Answer:
99 and - 12
Step-by-step explanation:
let x and y be the 2 numbers, then
x + y = 87 → (1)
x - y = - 111 → (2)
Adding the 2 equations term by term eliminates the y- term
2x = - 24 ( divide both sides by 2 )
x = - 12
Substitute x = - 12 into (1)
- 12 + y = 87 ( add 12 to both sides )
y = 99
The 2 numbers are 99 and - 12
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If i'm not wrong its distributing property of addition. <span />