Problema Solution
The product of 2 consecutive positive integers is 11 more than their sum. Find the integers.
We sometimes use the zero method in these.
Answer provided by our tutors
The 2 consecutive positive integers can be written as: x and x+1, where x is integer, x>0
The product of 2 consecutive positive integers is 11 more than their sum:
x(x + 1) = 11 + (x + x + 1)
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x = 4
We need to ignore the negative solution -3 because x can only be positive.
x + 1 = 4 + 1 = 5
Indeed:
4*5 = 20
11 + (4 + 5) = 20
The 2 consecutive positive integers are 4 and 5.