Let <em>n</em> be the unknown number. We can write it as
<em>n</em> = 10<em>a</em> + <em>b</em>
with <em>a</em> and <em>b</em> integers between 1 and 9 (either with positive or negative sign).
Reversing the digits gives another number
<em>m</em> = 10<em>b</em> + <em>a</em>
The first number is increased by 54 when the digits are reversed, which means
<em>m</em> = <em>n</em> + 54 → 10<em>b</em> + <em>a</em> = 10<em>a</em> + <em>b</em> + 54 → 9<em>b</em> - 9<em>a</em> = 54 → <em>b</em> - <em>a</em> = 6
The digit in the tens place of <em>n</em> is 3 times the digit in the ones place, so
<em>a</em> = 3<em>b</em>
Substitute this into the previous equation and solve for <em>b</em> :
<em>b</em> - <em>a</em> = <em>b</em> - 3<em>b</em> = -2<em>b</em> = 6 → <em>b</em> = -3
Solve for <em>a</em> :
<em>a</em> = 3<em>b</em> = 3(-3) = -9
Then the original number is <em>n</em> = 10<em>a</em> + <em>b</em> = 10(-9) + (-3) = -93
Answer:
asdop
Step-by-step explanation:
Answer:
-7/9
Step-by-step explanation:
The slope of the line is -7/9
12+2/-11-7=
14/-18=
7/-9=
-7/9
Answer:
6√2
Step-by-step explanation:
Solving the given expression step by step:
72 = 2 × 2 × 2 × 3 × 3
Now for finding the square root we will make pair of two numbers of same values.
We have one pair of 2's and one pair of 3's and left one 2
Thus, √72 = 2 × 3 × √2 = 6√2
We rationalize denominator and change it into a simpler form as soon as possible.
