Ayesha has a theory about two digits numbers that have a larger tens digit then ones digit.she says that reversing the digits and subtracting the reversed number from the original number will always generate a number that is multiple of 9.is ayesha right?if so why do you think this works?if not,why not?

Answers

Answer 1

Answer:

Answer:

Yes she is right

Step-by-step explanation:

Given that Ayesha has a theory about two digits numbers that have a larger tens digit then ones digit.she says that reversing the digits and subtracting the reversed number from the original number will always generate a number that is multiple of 9.

The reason is as follows: Let x be in 10th digit and y be in unit digit.

x>y

10x+y will be the place value.

If reversed we have 10y+x would be the value of the number

Difference would be

$10x+y-(10y+x)\n=9x-9y\n=9(x-y)$

Hence this has to be a multiple of 9.

Answer 2

Answer: Yes she is right. It works because the sum of the individual digits of the difference is divisible by nine.

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Answers

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Answers

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Alexander purchased a computer on sale. The regional price was $1200. The sale price was 5/6 of the original price. How much did Alexander pay for the computer?

Answers

Alexander purchased the computer for a price of $ 1000

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the price of the computer be = A

Now , the regional price of the computer be = $ 1200

The sale price of the computer is = ( 5/6 ) of original price

So , the equation will be

The sale price of the computer is = ( 5/6 ) x 1200

= 5 x 200

= $ 1000

Therefore , the price of the computer is $ 1000

Hence , Alexander purchased the computer for a price of $ 1000

To learn more about equations click :

brainly.com/question/10413253

#SPJ2

5/6 * 1200/1 = 1000
Alexander pay $1000 for the computer.

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Answers

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Answers

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