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sattari [20]
3 years ago
7

The sum of the digits of a two-digit number is 12. The number formed by interchanging the digits is 54 more than the original nu

mber. What is the original number?
Mathematics
1 answer:
-BARSIC- [3]3 years ago
8 0
Let X and Y be the digits.
If a two-digit number is written XY, then its value is 10x+y.
When the digits of the number are interchanged, it's YX, and its value is 10y+x.

The sum of the digits is 12.
The number formed by interchaning the digits is 54 more than the original number.

x+y=12 \\
10x+y+54=10y+x \\ \\
x+y=12 \\
10x-x+y-10y=-54 \\ \\
x+y=12 \\
9x-9y=-54 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\div 9 \\ \\
x+y=12 \\
\underline{x-y=-6} \\
x+x=12-6 \\
2x=6 \\
x=\frac{6}{2} \\
x=3 \\ \\
x+y=12 \\
3+y=12 \\
y=12-3 \\
y=9

The digits X and Y are 3 and 9, so the original number is 39.
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7 0
3 years ago
draw a rectangle give the length and the width to show that it has an area of 12cm make sure one side is longer than the other t
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3 0
3 years ago
A bandleader randomly select's two students out of 100 bandmembers if you and your brother are both bandmembers what is the prob
kherson [118]
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7 0
3 years ago
Read 2 more answers
A line passes through the point (2, -9) and has a slope of -9. Write an equation in point-slope form for this line.
Natali [406]

Answer:

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Step-by-step explanation:

Line is passing through the point (2,\: - 9) =(x_1,\:y_1) and has slope (m) = - 9

General equation of line in point slope form is given as:

y-y_1 = m(x-x_1)

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y+9 = - 9x +18

This is the required equation of line in point slope form.

4 0
3 years ago
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