I cannot figure out a question

Question

I can´t figure out what the sum of two numberss that equal 13 and their difference is 11.

Answer 1

x + y = 13

x - y = 11

2x = 24

x = 12

What is y?

Answer 2

Jiya,

This is a fairly good use of a number line.

please draw a number line that goes from 0 to 13.

You can pick a pair of numbers that add up to 13 by simply pointing at any number in the line.

So

(a) pick a number

(b) subtract it from 13

(C) if the difference is less than 11, move to the left

you should be able to find a pair of numbers that have a difference of 11.

Answer 3

let x and y be the two numbers

then we have the equations

x + y = 13

x - y = 11

this is a system of equations that we can solve

solve the bottom equation for x

x - y = 11

x = y + 11

plug this into the top equation and solve for y

x + y = 13

(y + 11) + y = 13

2y + 11 = 13

2y = 2

y = 1

plug y into the bottom equation

x - y = 11

x - 1 = 11

x = 12

the two numbers are 1 and 12