Question

The sum of two numbers is 60 and the difference is 12. What are the numbers?

Answer 1

Explanation:

Convert to a set of algebraic equations:

x+y=60,

y-x=12

Make y in terms of x:

y-x=12

y=12+x

Plugin y in terms of x to x+y=60:

x+12+x=60

Simplify to find x:

2x=60-12

2x=48

x=24

Find y based on x:

x+y=60

plugin 24 to x:

24+y=60

y=60-24

y=36

Check with the second equation:

36-24=12

The function works

x=24, y=36

Answer 2

Y=24 X=36

Explanation:

Sum of two numbers =60

x + y=60

difference of two numbers=12

x - y=12

adding above two equations, we get

x=36 and y= 24