Asked by Jannie
The sum of three consecutive numbers is 51. Find the largest number. Also write the equation to solve the problem
Answers
Answered by
mike
consecutive numbers means one right after the other so if your first number is x, your second number is (x+1), and your third number is (x+2).
the equation will be set up like
x+(x+1)+(x+2)=51
which then looks like x+x+1+x+2=51
then you combine like terms
3x+3=51
have x on one side of the equals sign and the rest on the other
3x=51-3
and solve for x
x=(51-3)/3 >>> 48/3 >>> 16 is x but that's only the first number
so to find the largest number its (x+2)
which equals (16+2)= 18
the equation will be set up like
x+(x+1)+(x+2)=51
which then looks like x+x+1+x+2=51
then you combine like terms
3x+3=51
have x on one side of the equals sign and the rest on the other
3x=51-3
and solve for x
x=(51-3)/3 >>> 48/3 >>> 16 is x but that's only the first number
so to find the largest number its (x+2)
which equals (16+2)= 18
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