Answer:

The number is [tex]21[/tex]

Step-by-step explanation:

Alright so, let that mysterious number be called, [tex]x[/tex]

Now, according to problem the possible equation can be written as  [tex]\frac{2x}{3} + x = 35[/tex], right??

Step - by - stepolution for  [tex]x[/tex]  goes this way,

[tex]\frac{2x}{3} + x = 35[/tex]

[tex]\implies \frac{2x + 3x}{3} = 35[/tex]

Multiplying by [tex]3[/tex] both sides of the equation, we get

[tex]5x = 105[/tex]

Now, Dividing both sides of the equation by [tex]5[/tex], we get

[tex]x = 21[/tex]