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please help me with this math problem?
i really need help with this question, thanks in advance!
Find three consecutive integers such that the sum of the first and third is ten less than three times the second. Find the numbers. ONLY AN ALGEBRAIC SOLUTION WILL BE ACCEPTED!
thanks guys for all the help!
4 Answers
- 1 decade ago
setup at set of simultaneous equations. let 1st number be x, 2nd be y, 3rd be z.
first and third is ten less than three times the second in equation is x + y = 3z-10.
z-y = 1 means z is 1 larger than y (consecutive)
y-x = 1 means yis 1 larger than x (consecutive)
You now have 3 equations with 3 unknowns and can solve. should get x=9, y=10, z-11
- 1 decade ago
let x-1,x,x+1 be the three consecutive integers
now given x-1+x+1=3x-10
=>2x=3x-10
=>x=10
the integers are 9,10and 11
check:9+11=20=3(10)-10