The sum of three consecutive even numbers is 246.
The sum of three consecutive even numbers is 246. What are the numbers?
Answer/Solution
80,82,84
Steps/Work
First x Make the first x
Second x+2 Even numbers, sowe add 2 to get the next
Third x+4 Add 2more (4 total) to get the third
F +S +T =246 SummeansaddFirst (F)plusSecond(S)plusThird(T)
(x)+(x+2)+(x+4)=246 Replace each F , S, and T withwhatwe labeled them
x+x+2+x+4=246 Here the parenthesis are not needed
3x+6=246 Combine like terms x+x+x and 2+4
−6 −6 Subtract 6 fromboth sides
3x=240 The variable ismultiplied by 3
3 3 Divide both sides by 3
x=80 Our solution for x
First 80 Replace x in the origional listwith 80.
Second (80)+2=82 The numbers are 80, 82, and 84.
Third ( 80)+4=84
correct answer A
Second x+2 Even numbers, sowe add 2 to get the next
Third x+4 Add 2more (4 total) to get the third
F +S +T =246 SummeansaddFirst (F)plusSecond(S)plusThird(T)
(x)+(x+2)+(x+4)=246 Replace each F , S, and T withwhatwe labeled them
x+x+2+x+4=246 Here the parenthesis are not needed
3x+6=246 Combine like terms x+x+x and 2+4
−6 −6 Subtract 6 fromboth sides
3x=240 The variable ismultiplied by 3
3 3 Divide both sides by 3
x=80 Our solution for x
First 80 Replace x in the origional listwith 80.
Second (80)+2=82 The numbers are 80, 82, and 84.
Third ( 80)+4=84
correct answer A