# Number Problem

# Find three consecutive integers such that

Submitted by Guest on Mon, 11/26/2012 - 16:41Find three consecutive integers such that four times the smallest of the integers is three times the largest. What is the largest of these three integers?

Solution:

To solve for the 3 consecutive integers, we need to have these representations: **Read more »**

# The annual sophomore class picnic is a plan by committee consisting of 17 members.

Submitted by JM on Sun, 07/01/2012 - 02:41The annual sophomore class picnic is a plan by committee consisting of 17 members. A vote to determine whether the picnic should be held at the beach or in the mountains resulted in a victory for the beach location. However if the two committee members had changed the vote from favoring the beach to favoring the mountains, the mountain site would have won by one vote. How many votes did each picnic location receive?

**Solution:
**

Based on the problem data, let us use the following variable representation:

**= beach voter**

*x***= mountain voter**

*y***Read more »**

# Finding 3 consecutive even numbers

Submitted by JM on Sat, 04/07/2012 - 04:01Find three consecutive even integers whose sum is 138. **Read more »**

# Number Problem: Number relationships

Submitted by JM on Fri, 04/06/2012 - 21:47The smaller of two numbers is 9 less than the larger, and their sum is 37. Find the numbers.

Solution:

Based on the problem statement, the following representation is derived:

Let **Read more »**

# Number Problem: Find two numbers

Submitted by JM on Fri, 04/06/2012 - 21:42Problem: Find two numbers whose sum is 7 provided that one is 3 times the other.

Solution:

Based on the problem statement, the following representation is derived:

Let **Read more »**