227k views
2 votes
what a third of a number is subtracted from ahalf of the same number, 60 is the result. Find the number.

User Beller
by
7.6k points

1 Answer

4 votes

Let's call the number
n.


Based on the problem, we can create the following equation:


(1)/(2) n - (1)/(3) n = 60


Now, let's solve for
n:


(1)/(2) n - (1)/(3) n = 60

  • Set up


n((1)/(2) - (1)/(3)) = 60

  • Apply the Distributive Property


(1)/(6) n = 60

  • Combine like terms


n = 360

  • Multiply both sides of the equation by 6

The number is 360.

User Csotiriou
by
8.6k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories