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

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Verified Answer :

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

apologiabiology

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

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