The sum of two numbers is 170 and their difference is 26. find the two numbers. write the solution as an ordered pair.
your

To solve, let's call the numbers random variables first. Let's say number 1 is x and number 2 is y. Translate the given statements to equations: The sum of the two numbers is 170: x+ y = 170 The difference in 26: x-y = 26 If we add the two sides of the equation together we get (x+y) + (x-y) = 170+26 2x = 196 x = 98 We have one number, so take another equation to figure out the other number: x-y = 26 y = x-26, we know x = 98 y = 98-26 = 72 The two numbers are 98 and 72. HOPE THIS HELPS :D

Sum means add
difference means subtract

sum is 170
x+y=170

differnce is 26
x-y=26

we have
x+y=170
x-y=26
add them

x+y=170
x-y=26 +
2x+0y=196

2x=196
divide 2
x=98

sub
x+y=170
98+y=170
minus 98 both sides
y=72

the numbres are 98 and 72
(98,72) if  you picked x as greater
(72,98) if you picked y as greater