One number is 4 more than 5 times another number. If 6 is added to each, the first resulting number is three times the second resulting number. Find the two numbers.

 4, 24

Step-by-step explanation:

Set smaller number as x, and y be the larger number.

Through the questions, we can get the equation:

                                 y = 5x + 4

(5x + 4) + 6 = 3(x + 6)         [5x+4 is the first resulting number according to the                      question.]

5x + 10 = 3x + 18                [Minus 2 from both side]

2x + 10 = 18                        [Minus 10 from both side]

2x = 8                                 [Divide 2 from both side]

x = 4

Plug in x = 4 to the equation, y = 5x + 4

y = 5x + 4

  = 5(4) + 4

  = 24

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺

$649.60

step-by-step explanation: