A number is 3 more than 4 times the sum of its digits. If the digits are interchanged, the resulting number is 9 more than the given number. How do you find the Number?

Question

3306 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-08-31T16:51:24

#n = 23#

Keeping a two digit number, let

#n = 10a+b#

then

#{(10a+b=4(a+b)+3), (10b+a=10a+b+9):}#

Solving for #a,b# we obtain

#a = 2# and #b = 3# so the number is

#n = 23#