The sum of three consecutive numbers is 51. Find the largest number. Also write the equation to solve the problem
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
Let's assume the three consecutive numbers as x, x+1, and x+2.
According to the given information, the sum of these three numbers is 51:
x + (x+1) + (x+2) = 51
Now, let's simplify the equation:
3x + 3 = 51
Subtracting 3 from both sides:
3x = 48
Dividing both sides by 3:
x = 16
Therefore, the largest number is x+2 = 16+2 = 18.
To summarize, the largest number in the series is 18. The equation to solve the problem is 3x + 3 = 51.
To solve this problem, we can set up an equation.
Let's assume that the first number is x.
Since we are looking for three consecutive numbers, the second number will be (x + 1) and the third number will be (x + 2).
According to the problem, the sum of these three numbers is 51. Therefore, we can write the equation:
x + (x + 1) + (x + 2) = 51
Now, we can solve this equation to find the value of x.
Simplifying the equation, we get:
3x + 3 = 51
Subtracting 3 from both sides of the equation, we have:
3x = 48
Dividing both sides by 3, we get:
x = 16
So, the first number is 16.
To find the largest number, we substitute x back into our equation:
16 + 1 = 17
So, the largest number is 17.
Therefore, the largest number in the set of three consecutive numbers is 17.