Question

Suhana thinks of a number and subbacte 5/3 from it. She multiples the result from 9. The result now obtained is 6 times the same number she thought of. What is the number?​

Answer 1

Answer:

The number is 5.

Step-by-step explanation:

Let's assume that Suhana thought about the number x.

She subtracted $\frac{5}{3}$ from it to obtain $x - \frac{5}{3}$

She multiplies the result by 9 to obtain 9 x $(x - \frac{5}{3})$

According to the problem:

9 x $(x - \frac{5}{3})$ = 6x

=>9x - 6x = $\frac{45}{3}$

=> 3x = 15

∴ x = 5

Answer 2

5

Step-by-step explanation:

Let the number be x.

Firstly, Suhana subtracted 5/3 from the number.

$\rm \dashrightarrow x - \dfrac{5}{3}$

Now, she mulitplies the result by 9

→ 9(x - 5/3)

→ 9(x) - 9(5/3)

→ 9x - 15

Finally, the number is 6 times the number she thought.

Number = x

6 times the number = 6x

Hence,

→ 9x - 15 = 6x

→ 9x = 6x + 15

→ 9x - 6x = 15

$\rm \dashrightarrow 3x = 15$

$\rm \dashrightarrow x = \dfrac{15}{3}$

→ x = 5.

Hence, the number is 5.