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3 years ago

13

The sum of digits of a cetain two - digit number is 7. Reversing its digits increases the by the number nine. what is the number

? you must use an algebraic expression to solve.

1 answer:

const2013 [10]3 years ago

7 0

The number is 34.
3 + 4 = 7
43 - 34 = 9

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Answer:

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Step-by-step explanation:

Plot the figure to better understand the problem

see the attached figure

we know that

If the figure is a rectangle

then

$AB=CD \\AD=BC$

The area of the rectangle is equal to

$A=B*h$

where

B is the base

h is the height

the base B is equal to the distance AB

the height h is equal to the distance AD

Step 1

Find the distance AB

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

$A(-5,5)\\B(0,-5)$

substitute the values

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Step 2

Find the distance AD

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substitute the values

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Step 3

Find the area of the rectangle

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