Skip navigation.
Home
...where Math lovers and haters meet!

Number Problem

Worded problem involving numbers and their relationships

Find three consecutive integers such that

Find 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.

The 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:

            x = beach voter
           y = mountain voter
Read more »

Finding 3 consecutive even numbers

Find three consecutive even integers whose sum is 138. Read more »

Number Problem: Number relationships

The 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

Problem: 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 »

Syndicate content