First you have to transform the problem into equations.
We have two unknow numbers, let's call them a and b
the sum of the two numbers if 72 would be written
a+b = 72
their difference is 48 would be written
a-b=48
(one of the number is greater than the other, we chose to say that a was the greatest)
Now, we use the fact that we can add a same quantity to both part of an equation and keep this equation true. As a-b equals 48, it is the same quantity, and we can add it to both part of the equation a+b = 72. For the left part, with the unknown numbers, we add the part containing also unknow numbers (a-b) and for the right part (a value) we add the part with a value (48)
a+b = 72
<=> a+b+a-b = 72 + 48
<=> a+a = 120
<=> a = 60
Now we have a. So we can substitute its value in any of the equations, for example the first who becomes
60 + b = 72
<=> 60 + b - 60 = 72 - 60 (we add -60, a same quantity, to both side of the equation)
<=> b = 12
(The mathematic reasoning to solve this problem have been shown in bold)
The factors of 35 are 1, 5, 7, and 35. There are only two factors with a difference of 2; they are 5 and 7. 1 and 5 have a difference of 4. 1 and 7 have a difference of 6. 1 and 35 have a difference of 34. 5 and 7 have a difference of 2. 5 and 35 have a difference of 30. 7 and 35 have a difference of 28.
They are 6 and 8
The factors of 56 are: 1, 2, 4, 7, 8, and 56. The prime factors are 2 and 7. Not sure what is being asked as far as the difference in the factors since there are more than two. If you only use two numbers to get 56 they would have to be 7 and 8. The difference then being 1.
Two.
Pairs of numbers whose sum is -14 and that are factors of -189 include -7 and -7, and -21 and 7.
7 and 14, or 49 and 2.
-14 and -14 Add them together to get -28 Multiply them to get 196
25 and 11
The factors of 35 are 1, 5, 7, and 35. There are only two factors with a difference of 2; they are 5 and 7. 1 and 5 have a difference of 4. 1 and 7 have a difference of 6. 1 and 35 have a difference of 34. 5 and 7 have a difference of 2. 5 and 35 have a difference of 30. 7 and 35 have a difference of 28.
9 and 5
No, it does not.
The factors of -84 that equal the sum of -16 are: -28 and 12 -14 and -2 -12 and -4
404
2 and 14
17 and 3 are prime numbers with a difference of 14.
They are 6 and 8
No 7 is a prime number and only has the trivial factors 1 and 7. The factors of 14 are : 14, 7, 2, and 1. Two is therefore a factor of 14.