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3 years ago

What is 31 - 260?????????????

Mathematics

1 answer:

vovangra [49]3 years ago

8 0

Answer:

229

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Five times the sum of the digits of a two-digit number is 13 less than the original number. If you reverse the digits in the two

mafiozo [28]

Answer:

The difference of the original two-digit number and the number with reversed digits is 18.

Step-by-step explanation:

Since it's a two digit number, let x represent the tens digit and let y represent the units digit.

Thus, the original two digit number is;

10x + y.

The reverse two digit number is;

10y + x.

We are told that five times the sum of the digits of the two-digit number is 13 less than the original number.

Thus;

5(x + y) = (10x + y) - 13

Multiplying out the bracket gives;

5x + 5y = 10x + y - 13

Rearranging gives;

10x - 5x + y - 5y = 13

5x - 4y = 13 - - - - (3)

Also,we are told that, four times the sum of its two digits is 21 less than the reversed two-digit number. Thus;

4(x + y) = (10y + x) - 21 - - - (4)

Simplifying gives;

4x + 4y = 10y + x - 21

>> 10y - 4y - 4x + x = 21

>> 6y - 3x = 21 - - - (4)

Solving eq(3) and (4) simultaneously gives;

x = 5 and y = 3

Thus,

Original number = 53

Reversed number = 35

Difference between original and reversed number = 53 - 35 = 18

6 0

2 years ago

Solve 4 over x minus 4 equals the quantity of x over x minus 4, minus four thirds for x and determine if the solution is extrane

Vinil7 [7]

I'm thinking this is what the problem looks like: $\frac{4}{x-4}= \frac{x}{x-4}- \frac{4}{3}$ . The first thing to do is to move the $\frac{x}{x-4}$ over to the other side because it has a common denominator with the other side. Doing that and at the same time combining them over their common denominator looks like this: $\frac{4-x}{x-4}= -\frac{4}{3}$ . The best way to solve for x now is to cross-multiply to get 3(4-x)=-4(x-4). Distributing through the parenthesis is 12 - 3x = -4x + 16. Solving for x gives us x = 4. Of course when we sub a 4 back in for x we get real problems, don't we? Dividing by zero breaks every rule in math that there ever was! So, yes, the solution is extraneous.

6 0

2 years ago

Given a≠±b and a^2−b^2 / a+b =12, find a−b.

Olegator [25]

Answer:

a-b=12

Step-by-step explanation:

(a²-b²)/(a+b) = 12

(a-b)(a+b)/(a+b)=12

a-b=12

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2 years ago

Samuel and 4 of his friends entered a chili cook-off. The rules allowed them

larisa86 [58]

Each of the 4 friends spent 15 dollars so all you need to do is multiply 4 by 15. 4x15=60

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2 years ago

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3x+y=1/3<br> 2x-3y=8/3<br><br> Solve the system of linear equation using any method.

krek1111 [17]

3x + 1y = ¹/₃   ⇒ 9x + 3y = 1
2x - 3y = 2²/₃ ⇒ 2x - 3y = 2²/₃
   11x = 3²/₃
      11    11
         x = ¹/₃
   3x + y = ¹/₃
         3(¹/₃) + y = ¹/₃
   1 + y = ¹/₃
   - 1 - 1
   y = ⁻²/₃
      (x, y) = (¹/₃, ⁻²/₃)

4 0

3 years ago

What is 31 - 260?????????????​

What is 31 - 260?????????????