Question

The sum of two consecutive integers
is sixty-five. Find the smaller of the
two numbers.

Answer 1

32

Explanation:

We can write an algebraic equation to solve this situation:
`x + x + 1 = 65`, where x = first integer (small number) and x + 1 = the following integer.

Step 1: Combine like terms.

• 
  `(x+x)+1=65`
• 
  `2x + 1 = 65`

Step 2: Subtract 1 from both sides.

• 
  `2x + 1 - 1 = 65 - 1`
• 
  `2x = 64`

Step 3: Divide both sides by 2.

• 
  `2x/2 = 64/2`
• 
  `x = 32`

Therefore, the smaller number is 32 while the larger number is 33.

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