Question 598166
Hi, there!
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[I] Define variables
Let n be an integer. 
Then n+1 is the next greater integer.
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[II] Write an inequality describing the given relationship(s).
The phrase, "The sum of an integer and the next greater integer," can be written as n+(n+1). 
The phrase "at least 35" can be written as "greater than or equal to 35." Together, we have
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{{{n+(n+1)>=35}}}
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Simplify and solve for n.
{{{2n+1>=35}}}
{{{2n>=35-1}}}
{{{2n>=34}}}
{{{n>=17}}}
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We want the least pair of such integers. The integer 17 is the smallest integer which satisfies the equation {{{n>=17}}}. The next greater integer is 18. We see that the sum of 17 and 18 is 35, and 35 is at least 35.
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That's it. Feel free to email via gmail if you have questions about the solution.
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Ms.Figgy
math.in.the.vortex@gmail.com