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Irina-Kira [14]
3 years ago
15

The sum of two numbers is 18. The sum of the greater number and twice the smaller number is 25. Find the numbers.

Mathematics
1 answer:
Rainbow [258]3 years ago
5 0

Answer:

11 and 7

Step-by-step explanation:

let x be the bigger number and y the smaller

the sum of the two numbers is 18

x+y=18

x=18-y------i

the sum of the greater number and twice the smaller number is 25

x+2y=25----ii

substituting i in ii

18-y+2y=25

collecting like terms

y=25-18

y=7

subtitute for y in i to get x

x=18-y

x=18-7

x=11

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Answer:

x = 11

Step-by-step explanation:

Equation:

(5x+1) + (12x-8) = 180

You are doing this because both sides on a straight line add up to 180 degrees. The two angles would add up to 180 degrees since they are on the one side of the line.

Simplifying:

(5x+12x) + (1-8) = 180

Add your common variables together; keep in mind that variables are placed before numbers.

Adding:

17x-7 = 180

Process:

To do this, you are going to simply do the opposite operation for the number without the variable on both sides of the equal sign.

17x - 7 = 180

     + 7    + 7

------------------

17x = 187

-----   ------

17       17

x = 11

You divided by 17 on both sides because you needed to get the x variable by itself. Hope this helped! :)

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Answer:

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