How do you set up this math problem?

Question

The larger of two numbers is six more than twice the smaller. the sum of the numbers is 87. find the numbers.

you dont have to tellme what the two numbers are but ive tried what seems like everything and i dont know how to set it up.
and could you please define the variable ex: let x= smaller number blah thanks soooo much!

Answer 1

x = smaller

2x + 6 = larger



smaller + larger = 87



x + 2x+6 = 87

3x + 6 = 87

3x = 81

x = 27 for the smaller



2x+6 = 60 larger

Answer 2

Okay, let's say that x is the smaller number, and let's say that y is the larger number. This would mean that x+y=87. Now, this would mean that y is 2 times x, plus 6, or y=2x+6. Here's the two equations you are using:



x+y=87



y=2x+6



Now, substitute 2x+6 for y in the first equation. The new first equation is:

x+(2x+6)=87.

Now, combine the x and the 2x, making the equation 3x+6=87. Then, subtract 6, making the equation 3x=81. Now divide by 3 and you have x=27. Now, substitute 27 in for x in the first equation x+y=87, making the equation 27+y=87. Now, subtract 27, making y=50. There's how you solve the problem and how you set up x in a problem like this one.

Answer 3

Try this: X is smaller number and y is the larger number.



It says the larger number is 6 more than twice the smaller, so translate that to math-language:

twice the smaller is 2x

6 more than twice the smaller is 2x +6

That makes Y, so

2x+6=y



Since you have two variables, you need at least two equations to solve the problem, though, so we need to look further.



It says the sum of the numbers is 87. Translate that to math-language and you get

x+y = 87





Solve the system of equations:



2x+6 = y

x+y=87



Solve by substitution: y = 87-x



so 2x +6 = 87-x

So 2x+x=87-6

So 3x = 81

X = 27



Y = 87-x = 87-27 = 60



Does 2X+6 = Y?

2(27) + 6 = 60 YES



Does X+Y - 87?

60 + 27 = 87 YES



OK, good answer --

Answer 4

i'm uncertain what you mean approximately putting it up - i've got been out of faculty too long! however the respond is 3 adults and 5 babies. 3 @ $5.seventy 5 is $17.25 so which you have $15 left for babies at $3 each and each, so 5 little ones. i think I zeroed in on what proportion .seventy 5 to get to .25 and went from there. stable good fortune with your homework.

Answer 5

ok so suppose x is the small number, z is the large number.

z=2x+6

z+x=87



with two equations and two unknowns, you can substitute one unknown for the other (in this case, substitute z=2x+6 into the second equation) then solve for x and plug it back into the first equation. good luck!

Answer 6

40.5 and 46.5?