Let the two numbers be x and y.
According to the problem, their sum is 62:
x + y = 62
Their difference is 8:
x - y = 8
We can solve these equations as a system of linear equations. To eliminate y, we can add the two equations together:
(x + y) + (x - y) = 62 + 8
2x = 70
x = 35
Substituting x = 35 into one of the original equations:
35 + y = 62
y = 62 - 35
y = 27
The two numbers are 35 and 27.
The sum of two numbers is 62, and their difference is 8. What are the numbers?
1 answer