High School

The sum of two consecutive integers is 173. What is the greatest of the two consecutive integers?

Answer :

The greatest of two consecutive integers whose sum is 173 is 87. This is found by setting up an equation with the first integer as n and the second as n+1, solving for n, and then adding 1 to get the greater integer.

If we are talking about two consecutive integers whose sum is 173, we can establish a simple equation to find them. Let's assume the smaller integer is 'n,' which makes the next consecutive integer 'n + 1'. The equation to represent their sum would be: n + (n + 1) = 173. Solving this equation:

  • 2n + 1 = 173
  • 2n = 173 - 1
  • 2n = 172
  • n = 172 / 2
  • n = 86

So the smaller integer is 86 and the greater integer, being consecutive, is 86 + 1, which equals 87.

Therefore, the greatest of the two consecutive integers is 87.

Answer:

Let x=the smaller integer.

Let x+1+ the larger integer.

x+(x+1)=173

(x+x)+1=173

2x+1=173

2x+1-1=173-1 (substract 1 from both sides)

2x=172 (divide 2 to both sides)

2x/2=172/2

x=86

x+1=87

Step-by-step explanation: