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Basile [38]
3 years ago
10

The sum of the digits of a two-digit number is 7 .When the digits are interchanged the reversed number is five times the tens di

git of the original number find the original number .
frnds pls help me

I want answer with full process pls help me​
pls frnds do it fast pls help me
Mathematics
1 answer:
Yanka [14]3 years ago
5 0

Answer:

Original number is 52.

Step-by-step explanation:

1) Two digit number xy,

it can be written as 10x + y.

2) The sum of the digits of a two-digit number is 7.

x + y = 7

3) The digits are interchanged the reversed number is yx,

the new number can be written as 10y + x.

4)  The original number is 10x + y, so the tens digit of the original number  is x.

5) Five times the tens digit of the original number is 5*x.

6) The reversed number is five times the tens digit of the original number:

10y + x = 5*x

7) We have system of two equations

x + y = 7  ---->  x = 7 - y

10y + x = 5*x --->   10y - 4x = 0

10y - 4x = 0

10y - 4(7 - y) =0

10y - 28 + 4y = 0

14y = 28

y = 2

x = 7 - y = 7 - 2 = 5

x = 5

Original number is 52.

New number 25.

Check:

Original number is 52, the tens digit is 5.

The reversed number (25) is five times the tens digit of the original number find the original number .

25 = 5*5 True

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Answer:

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Step-by-step explanation:

Let be "x" the unit price (price/ounce) of the soda in the 2-liter bottle and "y"  the unit price (price/ounce) of the soda in the case  of twelve 12 ounces cans.

According to the data provided in the exercise, you know that:

1. The 2-liter bottle of soda  is equal to 67.6 ounces.

2. That bottle costs  $1.89

Then, the unit price is:

x=\frac{1.89}{67.6}\\\\x\approx0.028

3. There are 12 ounce  cans in the case. Then the total ounces is:

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4. It costs $2.99.  So the unit price is:

y=\frac{2.99}{144}\\\\y\approx0.021

Since:

y

The better bargain is the case of 12 ounce cans.

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