Answer:
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
