Question #223f8

1 Answer
Pallu
Oct 26, 2017

The number is #9.5#

Explanation:

Let the number be #a#.

If we add 4, we get #a+4# as result.
and
Dividing the result by 3, we will have #(a+4)/3#
Now given that we will get the same result #(a+4)/3 # by adding 13 to the number,i.e. (a+13) and dividing the result by 5,i.e.(a+13)/5,
So,

#(a +4)/3 = (a+13)/5 #

#5(a+4) = 3(a+13)#

#5a +20 = 3a +39#

#5a- 3a = +39-20 #

#2a = 19#

#a = 19/2 # or #a = 9.5#
or #a = 9 1/2#

#therefore# The number is #9.5#

Cross check:

#(a +4)/3 = (9.5 +4)/3 = 13.5/3 = 4.5#

and

#(a+13)/5 =( 9.5 +13)/5 = 22.5/5 = 4.5 #

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