Question

The sum of three consecutive multiples of 7 is 126. Find them

Answer 1

The sum of three consequtive number be x =7. So,the numbers =x,x+1,x+2. So,the real numbers are as follow: 7x=7×5=35.

Answer 2

The three consecutive multiples of 7 are 35, 42, 49.

GIVEN:

The sum of the three consecutive multiples of 7 is 126

TO FIND:

Find the three numbers

SOLUTION:

Let x be a positive number then 7x will be a multiple of 7

then three consecutive multiples of 7 are 7x, 7x+7, 7x+14

Given that sum of the three consecutive multiples of 7 is 126

=> 7x + 7x+7 + 7x+14 = 126

=> 21x + 21 = 126

=> 21x = 126 - 21

=> 21x = 105

=> x = 105/21

=> x = 5

Therefore, the three consecutive multiples of 7 are

=> 7x = 7(5) = 35

=> 7x+7 = 35 + 7 = 42

=> 7x+14 = 35 + 14 = 49

Therefore,

The three consecutive multiples of 7 are 35, 42, 49.

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