One-half of a number is 1 more than one-third of the same number. What is the number?

Question

Mathematics

Demetrius

25 September, 08:46

One-half of a number is 1 more than one-third of the same number. What is the number?

+5

Answers (2)

Know the Answer?

Jenna Jarvis · Answer 1

Let the number be x,

(1/2) x=1 + (1/3) x

Solving for x,

(1/2) x - (1/3) x=1 + (1/3) x - (1/3) x

(1/2) x - (1/3) x=1

(1*3/6) x - (1*2/6) x=1

(3/6) x - (2/6) x=1

(1/6) x=1

6 * (1/6) x=6*1

Therefore, x=6

Saul · Answer 2

(1/2) x = (1/3) x + 1

- (1/3) x - (1/3) x

(1/6) x=1

*6 * 6

x=6

And so x=6, or your number is 6