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insens350 [35]
3 years ago
14

This is a popular type of problem that appeared in mathematics textbooks in the 1970s and 1980s. can you find the answer? the su

m of the digits of a two-digit number is 6. if the digits are reversed, the difference between the new number and the original number is 18. find the original number.
Mathematics
1 answer:
kondaur [170]3 years ago
4 0
A digit is a number in one of the places, so for example the number 54 has two digits; a tens place digit (5) and a ones place digit (4).

Say the mystery number is a two digit number = xy
* that's not x times y but two side by side digits.

Info given:
<span>the sum of the digits of a two-digit number is 6
x + y = 6 </span>
<span>if the digits are reversed, yx the difference between the new number and the original number is 18.

**To obtain the number from digits you must multiply by the place and add the digits up. (Example: 54 = 10(5) + 1(4))

Original number = 10x + y
Reversed/New number = 10y + x

Difference:
10y + x - (10x + y) = 18
9y - 9x = 18
9(y - x) = 18
y - x = 18/9
y - x = 2

Now we have two equations in two variables
</span>y - x = 2
<span>x + y = 6

Re-write one in terms of one variable for substitution.
y = 2 + x
sub in to the other equation to combine them.
x + (2 + x) = 6
2x + 2 = 6
2x = 6 - 2
2x = 4
x = 2

That's the tens digit for the original number. Plug this value into either of the equations to obtain y, the ones digit.

2 + y = 6
y = 4

number "xy" = 24

</span>
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3 years ago
The price for strawberries is currently $ 6.40 per pack. next week,strawberries will be on sale at a 20% discount. what is the t
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Answer:

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Step-by-step explanation:

Using the formula two and replacing the given values:

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This means, the cost of the item to you is $5.12.

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Suppose Have you received a amazon promo code of 1.28. If the price is $6.40 what was the amount saved in percent:

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Using the formula two and replacing the given values:

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3 years ago
Misha wrote the quadratic equation 0=-x2+4x-7 in standard form. what is the value of c in her equation
Masteriza [31]

Answer:

Final answer is c=-7.

Step-by-step explanation:

Given equation is 0=-x^2+4x-7.

Now question says that Misha wrote the quadratic equation 0=-x2+4x-7 in standard form. Now we need to find about what is the value of c in her equation.

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Hence final answer is c=-7.

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3 years ago
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Answer:

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