Answer:
Let the original number be x
Successor is defined as the number which comes immediately after a particular number.
also, the successor of a whole number is the number obtained by adding 1 to that number.
Then, the successor of a number x is, x+1
As per the given condition :
we have;
[tex]5(x+1)+x =83[/tex]
Using distributive property on LHS (i.e, [tex]a\cdot(b+c)=a\cdot b+a\cdot c[/tex] )
Then, we have
5x+5+x=83
Combine like terms;
6x+5=83
Subtract 5 from both the sides we get;
6x+5-5=83-5
Simplify:
6x=78
Divide both side by 6,
[tex]\frac{6x}{6} =\frac{78}{6}[/tex]
Simplify:
x =13
Therefore, the original number x is, 13
