Question

the product of three consective numbers is always divisible by 6 verify this statement with the help of an example in which number is 15.​

Answer 1

Answer:

1

ashuashu3727

08.08.2018

Math

Secondary School

+10 pts

Answered

The product of three consecutive numbers is 3360. What is the least number?

1) 17

2) 14

3) 13

4) 16

5) None of these

fiercespartan

fiercespartan Ace

Hola User!

Let us take the numbers as

First number = ( m - 1 )

Second number = ( m )

Third number = ( m + 1 )

We will have to multiply these numbers to get 3360

( m - 1 ) × ( m ) × ( m + 1 )

( m - 1 ) × ( m + 1 ) × ( m )

Note : ( a² - b² ) = ( a + b ) × ( a - b )

( m² - 1 ) × ( m ) = 3360

⇒ m³ - m = 3360

⇒ m³ - m - 3360 = 0

⇒ This equation will be true if m will be equal to 15 ( by trial and error method )

⇒ m = 15

⇒ m - 1 = 14

⇒ m + 1 = 16

Least number = 14

Answer 2

Answer:

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Step-by-step explanation:

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