Answer:
The required number is -136.
Step-by-step explanation:
Given : Two more than a certain number is 15 less than the product of [tex]\frac{7}{8}[/tex] and the number.
To find : The number ?
Solution :
Let the number be 'x'.
According to statement,
Two more than a certain number is 15 less than the product of [tex]\frac{7}{8}[/tex] and the number.
i.e. [tex]x+2=\frac{7}{8}x-15[/tex]
Solving the equation,
Take the like terms together,
[tex]x-\frac{7}{8}x=-15-2[/tex]
[tex]\frac{8x-7x}{8}=-17[/tex]
[tex]x=-136[/tex]
Therefore, The required number is -136.