Twice the sum of the first and the second integer exceeds twice the third integer by thirty-two. What are the three consecutive integers?

1 Answer
Nick
Nov 11, 2015

Integers are 17, 18 and 19

Explanation:

Step 1 - Write as an equation:
#2(x + x + 1) = 2(x + 2) + 32#

Step 2 - Expand brackets and simplify:
#4x + 2 = 2x + 36#

Step 3 - Subtract 2x from both sides:
#2x + 2 = 36#

Step 4 - Subtract 2 from both sides
#2x = 34#

Step 5 - Divide both sides by 2
#x = 17#

#\therefore# #x = 17#, #x + 1 = 18# and #x + 2 = 19#

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