What are two numbers whose sum is 52 and difference is 8?

Answer 1

Let this numbers be x and y, then

x + y = 52

x - y = 8

x = 8 + y

x + y = 52 substitute 8 + y for x into the first equation;

8 + y + y = 52

8 + 2y = 52 subtract 8 to both sides;

2y = 44 divide by 2 to both sides;

y = 22

x = 8 + y substitute 22 for y into the equation;

x = 8 + 22

x = 30

Thus this numbers are 22 and 30. 22 & 30