SOLUTION: The product of 2 consecutive integers equals the product of the number that is 3 less than the smaller one and the number that is 4 more than the larger one. What is the sum of the
Algebra ->
Problems-with-consecutive-odd-even-integers
-> SOLUTION: The product of 2 consecutive integers equals the product of the number that is 3 less than the smaller one and the number that is 4 more than the larger one. What is the sum of the
Log On
Question 286359: The product of 2 consecutive integers equals the product of the number that is 3 less than the smaller one and the number that is 4 more than the larger one. What is the sum of these four numbers?
A.60 B. 63 C. 64 D. 71 E. None of these. Answer by texttutoring(324) (Show Source):
You can put this solution on YOUR website! Let x= the first integer.
x+1= the second integer, because they are consecutive integers
x(x+1) = (x-3)(x+1+4)
so the equation looks like this:
x(x+1)=(x-3)(x+5)
(15)(16) = (12)(20)
The four numbers are 15,16,12, and 20. Their sum is 63.
