Question

the sum of three consecutive multiples of 7 is 777 find these multiples

Answer 1

hello here is your answer .....

Let the three consecutive multiples of 7 be = x , x + 7 , x + 14
Sum Of The Multiples = 777

A/q

x + x + 7 + x + 14 = 777
3x + 21 = 777
3x = 777-21
3x = 756
x = 756/3
$<b><i><u> x = 252 </b></i></u>$

So,
3 consecutive multiples of 7 are

$\huge{\bold{\italic{x\: =\: 252}}}$

$\huge{\bold{\italic{x+7 = \:252+7=259}}}$

$\huge{\bold{\italic{x + 14 = \:252+14 =266}}}$

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Answer 2

Here is your answer

Let,
The three consecutive multiples of 7 be 7x, 7x + 7 and 7x + 14.

7x + (7x + 7) + (7x + 14) = 777 (Given)

⇒21x + 21 = 777

⇒ 21x = 777 – 21

⇒ 21x = 756

⇒ x = 36


Number are:-

7x=7×36=252

7x + 7 = 252 + 7 = 259

7x + 14 = 252 + 14= 266


Hence,

The three consecutive multiples of 7 are 252, 259 and 266

Hope it helps you