The sum of three consecutive multiples of 7 is 693. Find the no

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asked Aug 20, 2023 173k views

1 Answer

Inkyung · Answer 1 · 2023-08-27T04:06:04+0000

Let x be a multiple of 7

Three consecutive multiples of 7 are

$\\ \large\blue\longrightarrow\rm \large \:x \: + \: (x \: + \: 7) + (x \: + \: 14) \: = \: 693$

$\large\blue\longrightarrow \rm \large \:3x \: + \: 21 \: = \: 693$

$\large\blue\longrightarrow \rm \large \:3x \: = \: 693 \: - \: 21$

$\large\blue\longrightarrow \rm \large \:3x \: = \: 672$

Dividing both sides by 3 , we have

$\large\blue\longrightarrow \rm \large \: (3x)/(3) \: = \: (672)/(3) \\$

$\large\blue\longrightarrow \rm \large \: \ \: ( \cancel3x)/( \cancel3) \: = \: \frac{ \cancel{672} \: \: ^{ \red{224}} }{ \cancel3} \\$

$\large\blue\longrightarrow \rm \large \:x \: = \: 224 \\$

Three consecutive multiples of 7 are