Problema Solution

The sum of two consecutive integers is equal to the sum of half of the smaller number and sixteen. Find the two numbers.

Answer provided by our tutors

Let first number be x

second number = x + 1

sum = x+(x + 1) = (2x + 1)

also half of smaller num = x/2

so => (x/2) + 16 = 2x + 1

=> x + 32 = 4x + 2

=> 3x = 30

=> x = 10


So numbers are 10,11