Question
Find 2 numbers whose sum is 47 and whose subtraction is 13
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Answer to a math question Find 2 numbers whose sum is 47 and whose subtraction is 13
Fred
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The sum of the two numbers is 47:
(x + y = 47) ---(Equation 1)
The subtraction of the two numbers is 13:
(x - y = 13) ---(Equation 2)
To find the values of (x) and (y), we can solve this system of equations.
We can solve this system by adding Equation 1 and Equation 2:
((x + y) + (x - y) = 47 + 13)
(2x = 60)
(x = 30)
Now, substitute the value of (x) into Equation 1 to solve for (y):
(30 + y = 47)
(y = 47 - 30)
(y = 17)
Therefore, the two numbers are 30 and 17, as their sum is 47 and their subtraction is 13.
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