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Two consecutive integers add up to be 233233. What are these integers?

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Full solution

Q. Two consecutive integers add up to be 233233. What are these integers?
  1. Define First Integer: Let's call the first integer xx. The next consecutive integer is x+1x+1.
  2. Formulate Sum Equation: The equation for their sum is x+(x+1)=233x + (x+1) = 233.
  3. Simplify Equation: Simplify the equation: 2x+1=2332x + 1 = 233.
  4. Isolate Variable: Subtract 11 from both sides to isolate the term with xx: 2x=233−12x = 233 - 1.
  5. Calculate Value: Calculate the new value: 2x=2322x = 232.
  6. Divide by 22: Divide both sides by 22 to solve for xx: x=2322x = \frac{232}{2}.
  7. Calculate x: Calculate the value of x: x=116x = 116.
  8. Find Next Integer: Find the next consecutive integer: x+1=116+1x+1 = 116 + 1.
  9. Calculate x+1x+1: Calculate the value of x+1x+1: x+1=117x+1 = 117.
  10. Check Sum: Check if the two numbers add up to 233233: 116+117116 + 117.

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