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the sum of 2 numbers is 5more than twice the first. their sum 29 finf the number

2006-09-18 16:48:20 · 6 answers · asked by antelias 2 in Education & Reference Primary & Secondary Education

6 answers

the numbers are 12 and 17.
12+17=29
12x2=24, 24+5=29

2006-09-18 16:52:07 · answer #1 · answered by ruggergirl418 2 · 0 0

Instead of just giving you the answer, I'll tell you how to find it using algebra.

Let's say x = the first number, and y = the second number.

Now we've been told two things about them - we just need to express these in algebraic terms, and it will all become clear.

The sum of the two is 5 more than twice the first:
x + y = 2x + 5

And their sum is 29:
x + y = 29

Now we have two equations and two variables. That means that we can solve the equation. There are many ways to do this - one method is substitution (solve one equation for one of the variables and plug that into the other equation) In this case, it would be easiest to note that the left side of both equations is the same, which means the right sides must be the same as well. We can use this to solve for one of the variables.

x + y = 2x + 5
x + y = 29
So 2x + 5 = 29
Or 2x = 24

Therefore x = 12.

Now you can plug this back in for x in the first equation:
12 + y = 29

I'll let you do the rest, since this is probably your math homework. Be sure to check your work when you're done to confirm you got it right.

Just remember, whenever you get a problem like this, try to translate the English into Algebra - then the rest is easy.

2006-09-19 00:08:01 · answer #2 · answered by Todd H 1 · 0 0

let the first number be x.
the sum = 2x + 5+ x = 29
3x= 24
x = 8

2006-09-18 23:59:50 · answer #3 · answered by weirdoonee 4 · 0 0

the first number is 12, second is 17

2006-09-18 23:54:21 · answer #4 · answered by Albert 2 · 0 0

x + y = 5 + 2x
x + y = 29
29 = 5 + 2x
2x = 24
x =12
**
12 + y = 29
y=17

2006-09-19 00:00:33 · answer #5 · answered by want2no 5 · 0 0

x+y=2(x+y)+5=29
2x+2y=29
now u can just do linear equations in 2 variables and find the ans!!!

2006-09-19 00:01:12 · answer #6 · answered by GRam! 2 · 0 0

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