Question

$\sf\fbox\red{QUESTION}$
The sum of three consecutive multiples of 8 is 888. Find the multiples.

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Answer 1

$\sf\large{\underbrace\green{Answer\implies 288\:\:,298\:and\:304}}$

$\tt\large\underline\purple{Let:-}$

$\sf{:\longmapsto First\: multiple\:of\:8=x}$

$\sf{:\longmapsto Second\: multiple\:of\:8=x+8}$

$\sf{:\longmapsto Third\: multiple\:of\:8=x+16}$

$\tt\large\underline\purple{To\: Find:-}$

$\tt{:\longmapsto The\:three\:multiple\:of\:8=?}$

$\tt\large\underline\purple{Explaination:-}$

$\tt{:\longmapsto Sum\:_{(multiples)}=888}$

$\tt{:\longmapsto x + (x + 8) + (x + 16) = 888}$

$\tt{:\longmapsto x + x + 8 + x + 16 = 888}$

$\tt{:\longmapsto 3x + 24 = 888}$

$\tt{:\longmapsto 3x = 888 - 24}$

$\tt{:\longmapsto 3x = 864}$

$\tt{:\longmapsto x = 288}$

• Now calculate multiples here :-]

$\sf{:\longmapsto First\: multiple \:(x) = 288}$

$\sf{:\longmapsto Second\: multiple\:(x + 8) = 288 + 8=296}$

$\sf{:\longmapsto Third\: multiple\:(x + 16)=288 + 16 = 304}$

$\sf\small\underline{Hence, \:\:required\: multiples=288,\:\:,296\:\:,304}$

Answer 2

Answer:

$\sf\tt\large{\red {\underline {\underline{\;Question:}}}}$

The sum of three consecutive multiples of 8 is 888.Find the multiples.

$\sf\tt\large{\red {\underline {\underline{\;Answer:}}}}$

$\sf\tt\large{\blue {\underline {\underline{⚘\;288, \;296, \;and \;304:}}}}$

$\sf\tt\large{\green {\underline {\underline{\;Solution:}}}}$

Hey mate,

First let verify your questions and next enter to calculations.

In the question given that the sum of three consecutive multiples of 8 is 888 .

According to this we should find the multiples.

So,we know that,

The total sum of multiples =888

This we can be written as ,

x + ( x + 8 ) + ( x + 16 ) =888

x + x + x + 8 + 16 =888

3x + 24 = 888

3x = 888 - 24

3x = 864

x = 864/3

x = 288

Now ,

Here we should comes to calculate the multiples.

Here we already got the value of x

So,

(i)First multiples =x=288

(ii)Second multiples = x+8=288+8=296

(iii) Third multiples =x+16 =288+16 =304.

Hence,

We get the perfect answer to your question.

Hope it helps u mate.

Thank you.