The sum of three integers is 211. The sum of the first and second integer exceeds the third by 39. The third interference is 23 less than the first. Find the three integers.

A= 109 B= 16 C=86

Step-by-step explanation:

Write an equation for each statement:

:

"The sum of three integers is 211."

a + b + c = 211

:

"The sum of the first an second integers exceeds the third by 39."

a + b = c + 39

a + b - c = 39

:

"The third integer is 23 less than the first."

c = a - 23:

Subtract the 2nd equation from the 1st equation

a + b + c = 211

a + b - c = 39

subtraction eliminates a and b, find c

2c = 172

c = 86:

Find a using the 3rd equation

86 = a - 23

86 + 23 = a

a = 109

:

Find b using the 1st equation

109 + b +86 = 211

b = 211 - 195

b = 16

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.