Question

The sum of three consecutive multiples of 7is 777. Find these multiples .

Answer 1

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Step-by-step explanation:

Answer 2

SOLUTION:

Given:

The sum of three consecutive multiples of 7 is 777.

To find:

These multiples.

Explanation:

Assume three consecutive number is;

R, R+1, R+2.

Multiples by 7.

Therefore,

•1st number= 7R.

•2nd number= 7(R+1)= 7R+7.

•3rd number= 7(R+2)= 7R+ 14.

According to the question:

=) (7R) + (7R+7)+(7R+14)=777

=) 7R + 7R+7 +7R+14=777

=) 21R+ 21= 777

=) 21R =777-21

=) 21R = 756

=) R= 756/21

=) R= 36

Therefore,

1st number= 7R= 7×36= 252.

2nd number=7R+7=7×36+7=252+7=259

3rd number=7R+14=7×36+14=252+14

=266

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