Question

The sum of two numbers is 170 and their difference is 26. Find the two numbers. Write the solution as an ordered pair.

Your answer:

Answer 1

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

Answer 2

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