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Let the numbers be 'm' & 'n' .
Hence
m + n = 27
m - n = 5
Add
2m = 32
m = 16
When m = 16 , then 'n' = 11
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SteveLet's call these two numbers x and y. Our first goal is find a way to express one of the variables in terms of another.
x+y=27
x=27-y
Now that we have a value for x that can be expressed with y, let's plug it into the next problem.
x-y=5
(27-y)-y=5
27-2y=5
-2y=-22
y=11
Once we have a concrete value for y, we can use that to solve for x.
x=27-y
x=27-11
x=16
For a final step, use these numbers in the original problems to check the answer.
x+y=27 x-y=5
16+11=27 16-11=5
27=27 5=5
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What two numbers have the sum of fifteen and a difference of five?
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What is the sum of two numbers is 15 their difference is 5 what are the two numbers?
The numbers are 10 and 5
The difference between the squares of two consecutive whole numbers is equal to?
Let's name the first number x and the next number x + 1. So, x^2 - (x + 1)^2 = x^2 - (x^2 + 2x + 1) = x^2 - x^2 - 2x - 1 = - 2x - 1 = -(2x + 1) Thus we can say that, the difference between the squares of two consecutive numbers is equal to the opposite of their sum (means it is their sum, but as a negative number). Let's do some examples: 2, 3; 2 + 3 = 5 2^2 - 3^2 = 4 - 9 = -5 ( 5 and -5 are opposite numbers, and 5 is the sum of 2 and 3) 13, 14; 13 + 14 = 27 13^2 - 14^2 = 169 - 196 = -27 (27 and -27 are opposite numbers, and 27 is the sum of 13 and 14)
What sum of two integers is 2 and the difference is 8?
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