Problem solving

Question

The left and right page numbers of an open book are two consecutive integers whose sum is 233. Find these page numbers. The two page numbers are ??

Answer 1

Any time you are told two numbers are consecutive, it means they are one after the other or if the first number is n, the second number is n + 1. Lets test this...if n = 3, then the next number is 4 or n+1. If the question said the two numbers are consecutive even or consecutive odd numbers, then the first would be n and the second would be n + 2,

For this problem, start out by naming the two numbers as above. The first number is n, the second is n+1. Now to find the numbers. You are also told that the sum of the numbers is 233. Sum means add. Add the two numbers and set equal to 233:

n + (n + 1) = 233 --> 2*n + 1 = 233 --> 2*n + 1 - 1 = 233 - 1 = 232 --> 2*n = 232

--> 2*n / 2 = 232 / 2 --> n = 116