Question

the difference between a number and to third of itself is 13 find the number​

Answer 1

Answer:

-6.5

Step-by-step explanation:

x-3x=13

-2x=13

x=13/-2

x=-6.5

Answer 2

Question:-

The difference between a number and two-third of itself is 13. Find the number.

Answer:-

The number is 39.

Solution:-

Let the number be x

According to question,

$= > x - \dfrac{2}{3} \times x = 13$

$= > x - \dfrac{2x}{3} = 13$

$= > \dfrac{3x - 2x}{3} = 13$

$= > \dfrac{x}{3} = 13$

$= > x = 39$

Hence, the number is 39.

Verification:-

L.H.S

$= x - \dfrac{2x}{3}$

$= 39 - \dfrac{2 \times 39}{3}$

$= 39 - \dfrac{78}{3}$

$= 39 - 16$

$= 13$

R.H.S, Already, 13

Therefore, L.H.S = R.H.S

Hence, Proved.