The sum of two numbers is 129 their difference is 67 what are the two numbers

Answer 1

Solve a system of equations with 2 variables:

x + y = 129

x - y = 67

Let's say x = 129 - y from the first equation and plug it into the second equation:

(129 - y) - y = 67

-2y = 67 - 129

y = 31,

which means x = 129 - 31 = 98.

Thus, the two numbers are 98 and 31.

Answer 2

Let x and y be the two numbers.

x+y = 129

x-y = 67

You can add the the two equations to temporarily eliminate y.

x+y = 129

x-y = 67

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2x + 0 = 196

x = 196/2 = 98

Substitute 98 in for x in the first equation.



98 + y = 129

y = 129-98 = 31

The two numbers are 98 and 31.