Answer:
the given number is (3×10)+6=36.
Step-by-step explanation:
Let x denote the digit in the tenth place and y denote the digit in unit place.. So, the number may be written as x y 10 + in the expanded form. (just like 35= 10(3) +5)
When the digits are reversed, x becomes the digit in unit place and y becomes the digit in the tenth place. The changed number, in the expanded form is 10y+x.
According to the first condition, we have y=2x which is written as
2x−y=0 (1)
Also, by second condition, we have
(10+x)−(10x+y)=27
That is, −9x+9y=27→−x+y=3 (2)
Adding equations (1) and (2), we get x= 3.
Substituting x 3 = in the equation (2), we get y = 6.
Thus, the give
n number is (3×10)+6=36.
Hope this helps!
Answer: 36
Step-by-step explanation:
[tex]\displaystyle \overline {xy} - two \ digit \ number \\\\ Where :\\\\ 1) y=2x \\\\ 2) \ \overline{xy} +27= \overline{yx} \\\\ 10x+y+27=10y+x \\\\ 10x+2x+27=2x\cdot 10+x\\\\ 11x+27=20x \\\\ 9x=27 \\\\ x=3 \ ; \ y=2x=6 \\\\ Then:\\\\ \large \boxed{\mathfrak{Answer}: \overline {xy}=36}[/tex]
