A certain whole number has the property that appending a digit #5# has the effect of adding #3074#. What is the original number?

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Answer 1 · 2017-03-22T00:06:31

#341#

If the original number is #n#, then the number formed by tacking a #5# on the end is #10n+5#

So:

#10n+5 = n+3074#

Subtract #n+5# from both sides to get:

#9n = 3069#

Divide both sides by #9# to get:

#n = 341#