SOLUTION: A two digit number is 4 times the sum of its digits. If 27 is added to that number its digits are reversed. Find that number.

Question 390239: A two digit number is 4 times the sum of its digits. If 27 is added to that number its digits are reversed. Find that number.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let the 2 digit number =
where and are the digits
given:
(1)
(2)
Note that the number with the digits reversed is
--------------------------
From (1):

From (2):

Using substitution:

and

The number is 36
check answer:
(1)

OK
(2)

OK
RELATED QUESTIONS
find a two digit number such that its digits are reversed when 9 is... (answered by josgarithmetic)

A number consists of two digits whose sum is 8. If 18 is added to the number its digit... (answered by anand429)

number of two digit exceeds 4 times the sum of the digits by 3 if 36 is added to the... (answered by ptfile)

a two-digit number is equal to 7 times the units digit. if 18 is added to the number, its (answered by ptaylor)

The sum of the digits of a two-digit number is 11. If 27 is added to the number, the... (answered by checkley75)

The sum of the digits of a two-digit number is 8. If 16 is added to the original number, (answered by ankor@dixie-net.com)

a number consists of two digits whose sum is 9.if 9 is added to the number ,its... (answered by checkley79)

A number has two digits whose sum is 8. If 18 is added to the number, its digits are... (answered by longjonsilver)

a number between 10 and 100 is five times the sum of its digits. if 9 be added to it the... (answered by chriswen)