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The sum of two numbers is 59 and the difference is 15 . what are the numbers?

User Chani
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Write a system of equation based on the number
For an instance, the two numbers are a and b.
"The sum of two numbers is 59" can be written as follows.
a + b = 59 (first equation)
"The difference is 15" can be written as follows.
a - b = 15 (second equation)

Solve the system of equation by elimination/substitution method.
First, eliminate b to find the value of a.
a + b = 59
a - b = 15
--------------- + (add)
2a = 74
a = 74/2
a = 37

Second, substitute 37 as a in one of the equations
a + b = 59
37 + b = 59
b = 59 - 37
b = 22

The numbers are 37 and 22
User Rando Shtishi
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