Question

twice a number increased by the product of 2 more than that number and 3 is equal to 21. what is the number?

Answer 1

Hi ,

convert the given word problem into algebraic equation.

let the number = x

twice the number = 2x

two more than the the number = x + 2

according to the problem,

Twice a number increased by the product of 2 more than that number and 3 is equal to 21

2x  + (x+2 )3 = 21

⇒ 2x + 3x +6 = 21

⇒ 5x = 21 - 6

⇒ 5x = 15

⇒  x = 15 / 5

  ∴ x = 3

The required number = x = 3

I hope this helps you.

Answer 2

Hope you understand
^_^