<u>ANSWER:</u><u> </u>
The original number is 64
<u>SOLUTION:</u>
Let the two-digit number be ab, where 'a' is the tens digit and 'b' is the units digit.
<span>"The sum of the digits of a two-digit number is 10" implies
a + b = 10 (Equation 1)
</span><span>"When the digits are reversed, the new number is 18 less than the original number" is algebraically written as
ba = ab - 18
>> bx10 + ax1 = (ax10 + bx1) - 18
</span>>> 10b + a = 10a + b - 18
>> 9a - 9b = 18
>> 9(a - b) = 18
>> a - b = 2
>> a = b + 2 (Equation 2)
Now substitute equation 2 in equation 1 to get
a + b = 10
>> (b + 2) + b = 10
>> 2b = 8
>> b = 4
Plug this value back in equation 1 to get
a = b + 2 = 4 + 2 = 6
So a = 6 and b = 4. Hence, the original number is 64.
<u>CHECK</u><u>:</u>
<span><u>Given</u>: The sum of the digits of a two-digit number is 10
</span><u>Check</u>: 6 + 4 = 10 (so it is true)
<span><u>Given</u>: When the digits are reversed, the new number is 18 less than the original number
</span><u>Check</u>:
Digits reversed: 64 reversed becomes new number 46, and 46 is 18 less than 64, that is, 46 = 64 - 18.
Answer:
y= 3x +1
Step-by-step explanation:
<u>Slope-intercept form:</u>
y= mx +c, where m is the slope and c is the y-intercept.
Gradient= 
☆ (x1, y1) is the 1st coordinate and (x2, y2) is the 2nd coordinate
Using the formula above, slope of line
Subst. m=3 into the equation:
y= 3x +c
To find the value of c, substitute a pair of coordinates.
When x= 2, y= 7,
7= 3(2) +c
7= 6 +c
c= 7 -6
c= 1
Thus, the equation of the line is y= 3x +1.
Answer:
it is a
Step-by-step explanation:
i took the quiz
Answer:
-2.46, -10/4, 14/5, 2.5.
Step-by-step explanation:
Not 1 or 3
it can't be 4 so it is the second one
