Problema Solution
Find two consecutive integers such that their sum is 89. Only an algebraic solution will be accepted.
Answer provided by our tutors
Let 'a' be the first number then for the second consecutive number 'b' we have b = a +1.
Their sum is 89 that means a + b = 89 or
a + (a + 1) = 89
a + a + 1 = 89
2*a + 1 = 89
2*a = 89 - 1
2*a = 88
a = 88 / 2
a = 44
b = a + 1 = 44 + 1 = 45
The two consecutive integers are 44 and 45.