Question

The sum of three consecutive multiples of 7 is 357. find the smallest multiple

Answer 1

112

Explanation:

Let the three consecutive multiples of 7 be 7x-7, 7x, and 7x + 7.

The sum of these multiples is 357, so we have the equation:

`\tt 7x-7+7x+7x+7=357`

Combining like terms, we get:

`\tt 21x= 357`

Dividing both sides by 21, we get:

`\tt x = (357)/(21)`

x= 17

Therefore, the smallest multiple of 7 is
`\tt 7x-7 =7*17-7 = \boxed{112}`