<u>Question 7:
Define x :
</u>
Let the digit in the ones place be x.
The digit in the tens place is x+2.
The sum of the digit and its reverse is 66
<u>Find x:</u>
10(x + 2) + x + 10x + (x + 2) = 66
10x + 20 + x + 10x + x + 2 = 66
22x + 22 = 66
22x = 44
x = 2
<u>Find the number:</u>
The number in the ones place = x= 2
The number in the tens place = x = 2 + 2 = 4
Answer : The number is 42.
<u>Question 8:</u>
<u>Define x:</u>
Let the digit in the tens place be x.
The digit in the ones place is x+7.
The number = 10x + x + 7 = 11x + 7
If the digit interchange,
the number = 10(x + 7) + x = 10x + 70 + x = 11x + 70
<u>Find x:
</u>
9(11x + 7) = 2(11x + 70)
99x + 63 = 22x + 140
99x - 22x = 140 - 63
77x = 77
x = 1
<u>Find the number:
</u>
x = 1
x + 7 = 1 + 7 = 8
So the number is 18
Answer: The number is 18.
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Slope of y = -⅓x + 3 is -⅓ (on comparing with m of y = mx + c)
As the required line is perpendicular to this, slope of the required line = - 1 / (-⅓) = 3
Equation:
=> y - y1 = m(x - x1)
=> y - 0 = (3)(x - (-2))
=> y = 3(x + 2)
=> 3x - y + 6 = 0
B10/36 i think, if its not what youre looking for let me know
