Question

8. The sum of three consecutive multiples of 7
is 771. Find the multiples.​

Answer 1

Step-by-step explanation:

As given the three consecutive multiples of 7 will be of the form x,x+7and x+14

then according to the question

x+x+7+x+14=777

3x+21=777

3x=756

x=756/3=252

multiples are252,259,266

Answer 2

Solution :-

Let :-

• 1st number = x
• 2nd number = x + 7
• 3rd number = x + 14

According to Question :-

• sum of three consecutive multiples of 7 is 771

$\longmapsto \sf x + x + 7 + x + 14 = 771$

$\longmapsto \sf 3x + 21 = 771$

$\longmapsto \sf 3x = 771 - 21$

$\longmapsto \sf 3x = 750$

$\longmapsto \sf x = \frac{750}{3}$

$\longmapsto \sf x = 250$

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Therefore :-

➽ First number = x = 250

➽ Second number = x + 7 = 250 + 7 = 257

➽ Third number = x + 14 = 250 + 14 = 264