One number is one less than 3 times another number. If the product of the two numbers is 102,find the numbers.

Question

help please

Answer 1

17 and 6

Answer 2

17 and 6

Answer 3

One extensive form (we are going to call that x) IS (each time you notice the word is which potential equals) 4 below (so this could be written as -4) thrice yet another extensive form (which we are going to call y) so, so some distance, we've the equation x= 3y-4 and we are additionally advised that x+y=36 (sum is including) so we've got a device of equations. to remedy we could desire to line them up: x=3y-4 (subtract 3y from the two factors of this) x-3y=3y-3y-4 and your new equation is x-3y=-4 you could now line up the two equations x-3y=-4 x+y=36 (see how the x and y are lined up) now we could desire to first do away with the two the x or y and remedy for the the rest, so what i'll do is multiply the backside equation by making use of three this could do away with the y, leaving the x for me to remedy. x-3y=-4 (3)x+y=36 3(x)+3(y)=(3)36 OR 3x+3y=108 so we've got x-3y = -4 3x+3y=108 +_________ 4x+0y=104 now in basic terms divide the two ingredient by making use of four 4x/4=104/4 the respond is x=26 and now which you be attentive to the value of x all you could desire to so is replace it decrease back into the two between the unique equations to discover y. So, i'm going to apply x+y=36 all of us be attentive to that x=26 so: 26+y=36 subtract 26 from the two factors 26-26+y=36-26 and this simplified could become y=10 So now you be attentive to that x=26 and y= 10. TA-DA! wish this enables.

Answer 4

17 and 6

17 is one less than 18

17 x 6 = 102 - best use algebra to prove it if you need workings

Answer 5

Let one number be x - the other is 3x-1.

Your equation is x (3x-1) = 102. You should be able to take it from there.

Answer 6

i will not give you the answer but give you a head start. you need to factor 102 into all of its primes then work from there.
i won't give you the answer as you need to learn somethings on your own or your teacher should have told you that and if they did START PAYING ATTENTION!!!!!

Answer 7

24.75 and 25.75.

25.75 * 3= 77.25

77.25 + 24.75= 102.

This is how you do it:
(n represents one of the numbers)

*3n-1+n= 102
*add one to each side.
*add the like terms (3n + n = 4n)
*divide by 4. you'll get 25.75
* subtract 1 from 25.75.


hope that helps!

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edit: i just realized i messed up. if i'm reading the problem right, it's 17 and 6.

Answer 8

x is first number, y is second
x=3y-1
xy=102
y=(x+1)/3
102=((x+1)/3)x
102= (x^2+x)/3
306=x^2+x
x^2+x-306=0 simple now ....solve for x and y will be obvious