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

your problem can be modeled by the subsequent system:
\[\Large \left\{ \begin{gathered}
m + n = 170 \hfill \\
m - n = 26 \hfill \\
\end{gathered} \right.\]
where m, and n are the requested numbers

Answer 2

how do i put it in an order pair

Answer 3

you have to compute their values, first

Answer 4

i don't know how to do that

Answer 5

for example, solve the second equation for m, what do you get?

Answer 6

i don't know

Answer 7

is it 72 and 98?

Answer 8

another way, is:
if I sum side by side those 2 equations together, I get:
\[\Large m + n + m - n = 170 + 26\]
please simplify

Answer 9

add*

Answer 10

Alternatively, in the \(special\) case when sum and difference are given, we can do the following:
bigger number = (sum+difference)/2
smaller number = (sum-difference)/2

For example: Given sum = 20, difference = 8
bigger number = (20+8)/2 = 14
smaller number = (20-8)/2 = 6