The sum of the three numbers is 208.:The difference between two positive integers is 38 . One integer is three times as great as the other. Find the integers.

Solution

Solution

The numbers : 123, 44, 41

Solution steps

Represent the numbers with

x, y, z

number 1 : x

number 2 : y

number 3 : z

A.T.Q.:

x + y + z = 208

x - y - z = 38

x = 3 z

x + y + z = 208, x - y - z = 38, x = 3 z : x = 123, y = 44, z = 41

The numbers : 123, 44, 41

Popular Examples

Ben is 3 times as old as Daniel and is also 4 years older than Daniel.How old is Ben?The product of two consecutive positive even integers is 8. Find the value of the greater integer.Little Miss Buffet takes all the money from her piggy bank and puts it into a savings account at her local bank. The bank promises an annual interest rate of 2.5% on the balance, compounded semiannually. How much will she have after one year if her initial deposit was 200?The area of a circle is 4𝜋 square inches. What is the radius?Suppose that 17,000is deposited for five years at 3%APR. Calculate the interest earned if interest is compounded semiannually. Round your answer to the nearest cent.