MATH SOLVE

3 months ago

Q:
# Bethany wrote the equation x+(x+2)+(x+4)=91 when she was told that the sum of three consecutive odd integers had a sum of 91. Which statement about her equation is true? A) Bethany is correct because consecutive odd integers will each have a difference of two. B) Bethany is correct because there are three xs in the equation and three is an odd number so it represents the sum of odd numbers. C) Bethany is incorrect because 2 and 4 are even numbers, she should use 1 and 3 in their place. D) Bethany is incorrect because consecutive integers always increase by 1 each time, not by 2.

Accepted Solution

A:

Answer:Bethany is correct because consecutive odd integers will each have a difference of two.For example: [1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21...] All those are odd numbers, and have a difference of two. So every time time we make 'x' an odd number in Bethany's equation, we will get three consecutive numbers.For example, if 'x' equals '1', then we will get the three consecutive numbers 1, 3 and 5.If 'x' equals 7, then we will get the three consecutive numbers 7, 9 and 11.