Question #24601

1 Answer
Dec 29, 2017

The number is 4

Explanation:

Suppose the number is #x#
Then #7# times the number will be #7x#

Now add, #7# to #7x# = #7x+7#...............(A)

The question further states that (A) is equal to one less than #9# times the number. It can be expressed as : #9x-1#--------(B)

We know from the question, (A) and (B) are equal and it can be written in equation form as :

#7x+7# = #9x-1#
Bring like terms to either side of the equation.

So, #7+1# =#9x-7x#
or, #8# = #2x#
or #x# = #8/2# = #4#