en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Word Problems >

If the sum of five consecutive even integers is 100, what is the smallest of the five integers?

Solution

I f t h e s u m o f f i v e co n sec u t i v e e v e n in t e g ers i s 100, w ha t i s t h e s ma ll es t o f t h e f i v e in t e g ers ?

Solution

The smallest number : 16

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number 1 : x + 2

Consecutive number 2 : x + 4

Consecutive number 3 : x + 6

Consecutive number 4 : x + 8

A.T.Q.:

x + x + 2 + x + 4 + x + 6 + x + 8 = 100

Solve

x + x + 2 + x + 4 + x + 6 + x + 8 = 100 : x = 16

x + 2 = 16 + 2 = 18

x + 4 = 16 + 4 = 20

x + 6 = 16 + 6 = 22

x + 8 = 16 + 8 = 24

Select the smallest solution:

16

The smallest number : 16

Popular Examples

A turtle travels 0.15 miles per hour. How far will the turtle travel in 14.5 hours?The radius of a circle is 3cm Find its circumference in terms of pi A person places 5800 in an investment account earning an annual rate of 7.9%, compounded continuously. Using the formula V, equals, P, e, start superscript, r, t, end superscriptV=Pe^{rt}, where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 11 years.what is the probability when a card is drawn 9 or 10 Susan is twice as old as Luna. The sum of their ages 4 years ago was 37. Find how old they are now.