Question

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

Answer 1

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 numer:
x-y = 26
y = x-26, we know x = 98
y = 98-26 = 72

The two numbers are 98 and 72.

Answer 2

ok thanks

Answer 3

Welcome :)

Answer 4

what is it as an ordered pair?

Answer 5

Let the two numbers be a and b then a+b=170 and a−b=26⟹a=98 and b = 72
So
ordered pair (98,72)