The sum of three consecutive multiples of 7 is 357 . FInd the smallest multiple

Sinead Mcgee

Sinead Mcgee

Answered question

2021-08-01

The sum of three consecutive multiples of 7 is 357 . FInd the smallest multiple

Answer & Explanation

Bentley Leach

Bentley Leach

Skilled2021-08-02Added 109 answers

Step 1
solution:
Let the three consecutive multiples of 7 is denoted by 7(x),7(x+1) and 7(x+2)
It is given that the sum is given as 357,
therefore,
7(x)+7(x+1)+7(x+2)=357
7x+7x+7x+14+7=357
21x+21=357
21x=336
It gives the value of x as 16.
So the multiples of 7 are 112,119 and 126.
Hence, the three consecutive multiples of 7 are 112,119 and 126.

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