Question

the sum of three consecutive multiples of 7 is 777. find the number please provide solution in notebook ​

Answer 1

Answer:

The numbers are 252 , 259 ,266

Step-by-step explanation:

Let the numbers be 7x , 7(x+1), 7(x+2)

given, sum = 777

⇒ 7x + 7(x+1) + 7(x+2) = 777

⇒ 7x + 7x + 7 + 7x + 14 = 777

⇒ 21x + 21 = 777

⇒ 21x = 756

⇒ x = 36

∴ the 3 numbers are

7x = 7×36 =252

7(x+1) = 7×37 = 259

7(x+2) = 7×38 = 266

⇒ 252 , 259 , 266

Answer 2

Answer:

252 ; 259 ; 266

step-by-step explanation:

Let the three consecutive multiples be

7x , 7x + 7 ; 7x + 14

The sum of the consecutive multiples is 777

So, By the problem,

7x + ( 7x + 7 ) + ( 7x + 14 )

21x + 21 = 777

21x = 777 - 21

21x = 756

x = 36

Now, To get the number we need to do,

7x = 7 × 36 = 252

7x + 7 = 7 × 36 + 7 = 259

7x + 14 = 7 × 36+ 14 = 266

Required Answer:-

252 ; 259 ; 266

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