Question

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

Answer 1

Heya friend,

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Let the first consecutive multiples of 7 be 7x.

Then,

second consecutive multiples of 7 = 7(x+1)

third consecutive multiples of 7 = 7(x+2)

According to question,

7x + 7(x+1) + 7(x+2) = 777

=> 7x + 7x + 7 + 7x + 14 = 777

=> 21x + 21 = 777

=> 21x = 777 - 21

=> 21x = 756

=> x = 756/21

=> x = 36

Hence, the first consecutive multiples of 7
= 7 × 36 = 252

Second consecutive multiples of 7 = 7 × 37 = 259

Third consecutive multiples of 7 = 7 × 38 = 266.


Thanks

With regards@

Tanisha