Question

One number is 9 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 1035, find the numbers.

Answer 1

let first number = x
then second number = 9x
third number = x + 100


so add these 3 expressions and equate them to 1035

Answer 2

then solve this equation for x

Answer 3

so add them together equal to 1035?

Answer 4

add the 3 expressions
x + 9x + x + 100

and this equals 1035

so we have
x + 9x + x + 100 = 1035

Answer 5

X = -100/11

Answer 6

??

what does x + 9x + x + 100 come to?
remember you can only add LIKE TERMS

Answer 7

11x+100?

Answer 8

yes and this equals 1035

so we have
11x + 100 = 1035

Answer 9

so X=85?

Answer 10

right

so you just work out the other 2 numbers by
plugging x = 85 into 9x and x=85 into x + 100

Answer 11

Thanks! I think i understand now! so that means that the numbers are 85, 738, and 185?

Answer 12

well 185 is right but try 9*85 again

Answer 13

765** Would i put them in any order?

Answer 14

no any order
and you can check to see if they are right by adding them up . They should total 1035.

Answer 15

they do. Thanks for the help!

Answer 16

in fact they do.

Answer 17

yw