Question

Three consecutive multiple of 7 add up to 357. Find the smallest mutiple

Answer 1

Answer:

The smallest multiple is 112.

Step-by-step explanation:

Since the numbers are multiples of 7,

 The numbers are $x, \ x \ +\ 7 \ and \ x\ + \ 14$

Given,

  The sum of the numbers is 357.

⇒ $x\ + \ x \ + \ 7 \ + \ x \ + \ 14 \ = \ 357$

⇒ $3x \ + \ 21 \ = 357$

⇒ $3x \ = \ 357 \ - \ 21$

⇒ $3x \ = \ 336$

⇒   $x \ = \ \frac{336}{3}$

⇒   $x \ = \ 112$

1. $x\ = \ 112$                                            
2. $x \ + \ 7 \ = \ 112 \ + \ 7 \ = \ 119$
3. $x \ + \ 14 \ = \ 112 \ + \ 14 \ = \ 126$

The numbers are 112, 119, 126.

The smallest multiple is 112.

Hope this helps.

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