# If I write 3 to the left of my number, and double this three-digit number, the result is 27 times my original number. What is my number?

If I write 3 to the left of my number, and double this three-digit number, the result is 27 times my original number. What is my number?
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Maggie Tanner
Let,
Two-digit number = x
Then,
$2\left(300+x\right)=27x\phantom{\rule{0ex}{0ex}}⇒600+2x=27x\phantom{\rule{0ex}{0ex}}⇒600=27x-2x\phantom{\rule{0ex}{0ex}}⇒600=25x\phantom{\rule{0ex}{0ex}}x=24$
Hence. two-digit number is 24