algebra word problem
posted by J .
find three consecutive positive numbers such that the product of the first and third minus the second, is 1 more than 6 times the third

" find three consecutive positive numbers"
Let the middle integer be M.
"such that the product of the first and third minus the second,"
(M1)*(M+1)  M
"is 1 more than 6 times the third"
= 6(M+1)+1
The resulting formula is therefore
(M1)(M+1)M = 6(M+1)+1
This equation has rational factors, or you could use the quadratic formula to find the solution. The answer for M is less than 10. 
I still don't understand it

This is worked exactly the same way as mathmate did it but uses a little different terminology. Perhaps this will help.
These are consecutive numbers; therefore, if we let x = first number, x + 1 = y is the second number and y+1 = z = the third number.
Then product of 1st and 3rd is
xz and that minus the second makes it
xzy and that = 6(3rd)+1 but the 3rd is 6z so
xzy=6z+1
Now just substitute for x = y1 and for z = y+1 and solve for y (which is the middle number).
(y1)(y1)  y = 6(y+1)+1
y=??
y1 = x
y+1 = z
Respond to this Question
Similar Questions

algebra 2
Hi i posted this question: the general expression for consecutive multiples of 6 is 6N, 6(N + 1), 6(N +2), etc. find three consecutive multiples of 6 such that 4 times the first exceeds twice the third by 12. and than Bobpursley replied: … 
Algebra
find three consecutive positive even integers such that the product of the second and third integers is twenty more than ten times the first integer. [only an algebraic solution can give full credit] 
math
Find three consecutive integers such that the square of the third minus the first is equal to 2 more than 5 times the second. 
Math
Find three consecutive intergers such that the product of the first and the second is two more than three times the third. 
Math
Find three consecutive intergers such that the product of the first and the second is two more than three times the third. 
Math
Find three consecutive intergers such that the product of the first and the second is two more than three times the third. 
Math
Find three consecutive intergers such that the product of the first and the second is two more than three times the third. 
Math
Find three consecutive intergers such that the product of the first and the second is two more than three times the third. 
Math
Find three consecutive intergers such that the product of the first and the second is two more than three times the third. 
PreAlgebra
Find 3 consecutive positive integers such that the product of the first and third, minus the second, is 1 more than 5 times the third.