Question

If five times the successor of a number is added to an original number the sum is 83

Answer 1

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;

`5(x+1)+x =83`

Using distributive property on LHS (i.e,
`a\cdot(b+c)=a\cdot b+a\cdot c` )

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,

`(6x)/(6) =(78)/(6)`

Simplify:

x =13

Therefore, the original number x is, 13