The sum of two numbers is 82. One number is 38 more than the other. Find the numbers.

22, 60

Step-by-step explanation:

x+ x + 38 = 82

2x + 38 = 82

2x = 82 - 38

x = 44 / 2 = 22

22, 60

Step-by-step explanation:

We can use system of equations to solve this. Let's use 1 for one number and y for the second number.

Equation 1

x+y=82

Equation 2

x+38=y

Since we know what y is, we can substitute it into the first equation.

x+(x+38)=82

x+x+38=82

2x+38=82

2x=44

x=22

Now that we know x, we cna plug it into any equaiton to find y.

(22)+38=y

y=60

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)