Question

One number is 10 times as large as another, and their difference is 81. Find the numbers.

If x represents the smaller number, then the larger number is


x/10
10x
x + 10

Answer 1

Any ideas @magan ? A good idea will get you to understand the right answer.

Answer 2

i really have no idea what i have to do

Answer 3

Try to translate:

"One number is 10 times as large as another"

into symbols.

Answer 4

this is quite simple, if you read over the question a few times and learn the tendencies. One number is ten times larger than the other, therefore the two numbers can be represented by "10x" and "x". To find the difference you must use subtraction. Since "x" is obviously the smaller number, subtract it from "10x" and set it equal to 81. So the equation would look like this.\[10x-x=81\] then solve for x. One number will be equal to the value of x, the other will be ten times the value of x. After the equation is solved, x=9, and 10x=90. Therefore, your two numbers are 9 and 90.

Answer 5

ok so its 10x

Answer 6

what about this one?

One number is 3 more than 2 times the other, and their sum is 27. Find the numbers.

If x represents the smaller number, then the larger number is

a.3x + 2
b.2x + 3
c.2(x + 3)

Answer 7

the answer would be b. This is because the number you are trying to find the value of is 3 more than 2 times the other. So two times x is 2x, then 3 more would be 2x+3.

Answer 8

okay i got two more is that cool?

Answer 9

Go ahead :)

Answer 10

The sum of 2 consecutive numbers is 37. Find the numbers.

If x represents the smaller integer, then the larger integer is

a.x + 1
b.x + 2
c.2x + 1

Answer 11

a. Because consecutive numbers are numbers that follow eachother in order (on a number line). And you want a number that is consecutive to x and larger than x. Therefore, x+1 is the only possibility

Answer 12

Okay last one, but i might need more help later

Answer 13

@magan are you learning anything you can take into your math test by just getting the answers?

Answer 14

The sum of 2 consecutive odd integers is 92. Find the numbers.

If x represents the smaller integer, then the larger integer is

a.x + 1
b.x + 2
c.2x + 1

Answer 15

sure just message me when you need help. And @skullpatrol that's why im explaining the concepts im using to solve the problems

Answer 16

i know how to do them but these are the ones i needed help with @skullpatrol

Answer 17

OK, good luck.

Answer 18

b. Because, consecutive odd integers, are consecutive numbers just omitting the even numbers, and you wanted a number that is a consecutive odd integer to x and larger than x. So, x+2 is the only possibility, because you must skip the even number in between the consecutive odd integers which makes it x+2 instead of x+1.

Answer 19

is that all the help you needed, @magan ?

Answer 20

ok thats it thanks alot

Answer 21

yes it i need more help i will let you know

Answer 22

ok. :)