Home > Algebra > Problem-Solving Models

The sum of three consecutive integers is 258. How do you find the three integers?

Answer 1

Ethan Adkins

#"The consecutive integers are 85,86,87"#

#n:"the first number"#

#n+1:"the second number"#

#n+2:"the third number"#

#n+(n+1)+(n+2)=258#

#3n+3=258#

#3n=258-3#

#3n=255#

#n=255/3#

#n=85#

#n+1=85+1=86#

#n+2=85+2=87#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Eva Abramson

Let ( x ) represent the first integer. Then the next two consecutive integers are ( x + 1 ) and ( x + 2 ). The sum of the three consecutive integers is ( x + (x + 1) + (x + 2) = 3x + 3 ). Given that the sum is 258, we set up the equation ( 3x + 3 = 258 ) and solve for ( x ). Subtract 3 from both sides: ( 3x = 255 ). Divide both sides by 3: ( x = 85 ). So the three consecutive integers are 85, 86, and 87.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.