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?

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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#