SOLUTION: I am doing word problems. I am being asked to find the pair of integers with the greatest sum if the sum of two consecutive integers is less than 55. I have to write and equation

Question 31587This question is from textbook Algebra Structure and Method Book 1
: I am doing word problems. I am being asked to find the pair of integers with the greatest sum if the sum of two consecutive integers is less than 55. I have to write and equation and then solve it. This question is from textbook Algebra Structure and Method Book 1

Answer by ikdeep(226) (Show Source): You can put this solution on YOUR website!
Let first integer = x
so second integer = x + 1
according to question we get the equation,,,,
(x) + (x + 1) < 55
x + x + 1 < 55
2x + 1 < 55
subtract 1 from both sides ,we get
2x < 54
divide both sides by 2 we get ......
x < 27
1st integer = x and x < 27
also as we need sum of integer with greates sum so we take x = 26
and 2nd integer = x+1
= 27 + 1
= 28
now if you add both the integers you get sum = 54 which is less than 55 and so this verify you second condtion also .......
hope this will help you
Please feel free to revert back for any further queries.

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