what is the sum 12 and their difference is 8
Answers
Answer:
Equation 1: Sum:
x + y = 12
Equation 2: Difference:
x - y = 4
Solution:
x + y = 12
x - y = 4
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Add the two equations together:
2x = 16
Divide both sides by 2:
x = 8
Solve for y:
Use equation 1 substituting for x:
x + y = 12
8 + y = 12
Subtract 8 from both sides:
y = 4
Answer:
one number is 8 and the other number is 4.
8 + 4 = 12
8 - 4 = 4
Hope it helps you!!!
The two numbers such that their sum is 12 and difference is 8 are
2 and 10.
Given:
The sum of the two numbers is 12 and their difference is 8.
To Find:
The two numbers.
Solution:
Let us convert these statements into the form of an equation.
First, let us assume that the two numbers are 'x' and 'y', and x>y.
The sum of these numbers is given to be 12.
⇒ x+y = 12 (I)
The difference between these numbers is given to be 8.
⇒ x-y = 8 (II)
We have obtained two equations in variables 'x' and 'y'. Adding the above equations to eliminate y, we get:
(x+y)+(x-y) = 12+8
⇒ 2x = 20
⇒ x = 10.
Hence, one of the numbers is 10.
Substituting the value of x in equation (I), we have:
10+y = 12
⇒ y = 2.
Hence, the two numbers are 2 and 10.
∴ The two numbers such that their sum is 12 and difference is 8 are 2 and 10.
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