SOLUTION: Immeadiate Help! Pls answer all with solution and explanation. 1.One number is 38 less than another. Their sum is 82. Find the numbers 2.One number is 8 more than thrice another.

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: Immeadiate Help! Pls answer all with solution and explanation. 1.One number is 38 less than another. Their sum is 82. Find the numbers 2.One number is 8 more than thrice another.      Log On

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Question 929665: Immeadiate Help! Pls answer all with solution and explanation.
1.One number is 38 less than another. Their sum is 82. Find the numbers
2.One number is 8 more than thrice another.Find the number if their sum is 36
3.Separate 30 into two parts such that one number is 8 more than the other
4.One number is 4 more than 3 times another.Find the nunbersif their sum is 60.
5. The difference between 6 times a number and 12
equals the sum of the number and 13. Find the number.
Answer by EdenWolf(517) About Me  (Show Source):
You can put this solution on YOUR website!
1. Let's say x is a number. Let x-38 be one of the numbers, which is 38 less than the other, and plain ol' x for the other. Set this up as an equation.
x%2Bx-38=82
2x-38=82
Add 38 on both sides.
2x=120
Divide both sides by 2.
120 divided by 2 is 60.
So one number is 60, and the other number which is 38 less than the other, (60-38 is 22.
Answer: 60 and 22

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2. Again, x is one number, and the other number will be represented as 3x%2B8.
Set this up into an equation once again.
x%2B3x%2B8=36
4x%2B8=36
Subtract 8 from both sides.
4x=28
Divide both sides by 4.
x=7
But wait! We're not done yet! Let's find the other number. Plug in 7 into the place where the x is.
3%287%29%2B8
21%2B8
29
So the numbers are 7 and 29.
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3. Let one number be x and another x%2B8. Put it into an equation.
30=x%2B8%2Bx
Now simplify.
30=2x%2B8
22=2x
x=11
To find the other number: 11%2B8=19
One number is 19 and the other is 11.
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4. Let one number be x and another number 3x%2B4.
Set it into an equation.
3x%2B4%2Bx=60
4x%2B4=60
4x=56
x=14
To find the other number: 3%2A14%2B4=46
So one number is 14 and another is 46.
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5. For this one, you only need one number, x. Put it into an equation.
6x-12=x%2B13
Now simplify.
5x-12=13
5x=25
x=5
The number is 5.
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I hope I helped you. Enjoy!