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
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Define the three unknowns.
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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):
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 .
Five times the third:
Two times the first:
Five times the third minus two times the first:
Four times the second minus forty:
Putting it all together:
Solve for and the other two numbers are the next two integers.
