The larger of two numbers is 12 more than the smaller number. if the sum of the two numbers is 74, find the two numbers

For a visual, say the numbers are x and y.

x = 12 + y

if the sum is 74,

x + y = 74

to solve for y,

y = 74 - x

now, plug this into the first equation and solve.

x = 12 + (74 - x)

x = 86 - a

2x = 86

x = 43.

plug the solution of x into x + y = 74 and solve

43 + y = 74

y = 31.

so, your two numbers are 43 and 31. :)

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.