SOLUTION: Find three consecutive integers, such that five times the third, minus two times the first, is the same as four times the second, minus forty.
Define the three unknowns.
Writ
Algebra.Com
Question 312472: Find three consecutive integers, such that five times the third, minus two times the first, is the same as four times the second, minus forty.
Define the three unknowns.
Write the equation using the unknowns.
Solve the equation.
Write the result in a complete sentence.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Why would you define three unknowns for this problem? That is a completely unnecessary and very confusing complication to what becomes a very simple problem if you define one unknown and then express the other two numbers in terms of their relationship to the defined unknown.
Let 
represent the first integer. Then the next consecutive integer is 
buy the definition of consecutive. The next one after that is \ +\ 1\ =\ x\ +\ 2)
.
Five times the third: \ =\ 5x\ +\ 10)
Two times the first: 
Five times the third minus two times the first: 
Four times the second minus forty: \ -\ 40\ =\ 4x\ -\ 36)
Putting it all together:
Solve for and the other two numbers are the next two integers.
John
RELATED QUESTIONS
Find three consecutive odd integers such that the product of the first two minus six... (answered by dfrazzetto)
1) find 4 consecutive even integers such that the sum of twice the first, five times the... (answered by ankor@dixie-net.com)
Find three consecutive even integers such that twice the first minus three times the... (answered by algebrahouse.com)
Find two consecutive even integers such that four times the first is three times the... (answered by KnightOwlTutor)
Find three consecutive even integers such that four times the third integer is four more... (answered by ankor@dixie-net.com)
Find three consecutive odd integers such that the sum of the first and three times the... (answered by ankor@dixie-net.com)
Find three consecutive even integers such that the product of five and the third integer... (answered by atique.ah)
Find three consecutive even integers such that the sum of the first and third is three... (answered by CubeyThePenguin)
Find three consecutive odd integers such that three times the first minus the second is... (answered by stanbon)