Question

the sum of three consecutive term if an AP is 12 and their product is 60 find the term ​

Answer 1

Friends…!

Let the smallest of three consecutive numbers be x.

Hence other two numbers are x + 1 and x + 2

The sum of three consecutive number is

x + x + 1 + x + 2

Their product

x × (x + 1) × (x + 2)

The sum of three consecutive number is 12,

x + x + 1 + x + 2 = 12

3x + 3 = 12

3x = 12 - 3

3x = 9

x = 9/3

x = 3

The smallest number is 3. Hence other two numbers are

x + 1 = 3 + 1 = 4

x + 2 = 3 + 2 = 5

The three consecutive numbers are 3, 4 and 5

Their product 3 × 4 × 5 = 60

Thus three consecutive numbers are correct.

Answer: The three consecutive numbers are 3, 4 and 5