The sum of two mumbers is 21, and their difference is 7. What are the numbers?
1 + 20
2 + 19
3 + 18
4 + 17
Keep going with this progression til you find the pair of numbers with a difference of 7.
7, and 14
To find the numbers, let's assign variables to them. Let's say the first number is x and the second number is y.
According to the information given, we can create two equations:
1. x + y = 21 (the sum of the two numbers is 21)
2. x - y = 7 (the difference between the two numbers is 7)
Now, we can solve these equations using a method called substitution or elimination.
Let's use the substitution method:
From equation 2, we can rearrange it to solve for x:
x = y + 7
Now substitute this value of x into equation 1:
(y + 7) + y = 21
Simplify the equation:
2y + 7 = 21
Subtract 7 from both sides of the equation:
2y = 14
Divide both sides by 2:
y = 7
Now that we have the value of y, substitute it back into equation 2 to find x:
x - 7 = 7
x = 7 + 7
x = 14
Therefore, the two numbers are 14 and 7.