SOLUTION: Five time the sum of three consecutive integers is 1 less than 14 times the largest integer. Find the integers

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Question 1048015: Five time the sum of three consecutive integers is 1 less than 14 times the largest integer. Find the integers
Answer by mathslover(157) About Me  (Show Source):
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Let x-1,x and x+1 be the 3 consecutive integers,
From the given condition,
Five time the sum of three consecutive integers is 1 less than 14 times the largest integer
5(x-1 + x + x+1)= 14(x+1)-1
=>5 * 3x=14x +14 -1
=>15x=14x+13
Grouping the like terms,
15x-14x=13
x=13
Hence the consecutive integers are 12, 13 and 14 { x-1, x, x+1}