Two integers have a sum of 24 and a difference of 6. What is the lesser integer of the 2?

Question

Can you figure it out? ;)

Answer 1

x+(x+6)=24
2x=18
x=9

The lesser integer is 9 while the bigger integer is 15.

Answer 2

9

Answer 3

Two equation > 1. x + y = 24 and 2. x - y = 6

The "x" and "y-variable" represents unknown values/numbers.
Solve for "x" or "y" in either equation; let's solve for "x" in the 1st equation...

First: subtract "y" from both sides...

x + y - y = 24 - y
x = 24 - y

Sec: replace "24 - y" with the x-variable in the 2nd equation...

24 - y - y = 6
24 - 2y = 6

*Subtract "24" from both sides...

24 - 24 - 2y = 6 - 24
- 2y = - 18

*Isolate "y" on one side > divide both terms by "-2"...

-2y/-2 = - 18/-2
y = 9

Third: replace "9" with the y-variable in the 1st equation...

x + 9 = 24

*Subtract "9" from both sides...

x + 9 - 9 = 24 - 9
x = 15

Solution: (15, 9)

Answer 4

n+m=24
n-m=6 add
2n=30 divide by 2
n=15
15+m=24 subtract 15
m=9

check 15-9=6

the lesser of the integers is 9 the greater is 15 (I know yo udidn't ask for that, but I couldn't restrain myself) :)

Answer 5

a+b=24 -> a=24-b
a-b=6 -> a=6+b

24-b=6+b
18=2b
9=b

The lesser integer is 9 (the larger would be 9+6=15)

Answer 6

x + y = 24
x = 24-y

x - y = 6
24 - y - y = 6
24 - 2y = 6
24 - 6 = 18 = 2y
y = 9
x = 15.

So the lesser of the two is 9.

Answer 7

x+y=24.....(1)
x-y=6........(2)

Rearrange 2, you'll get x=y+6
Replace this in 1=
(y+6)+y=24
2y=18
y=9

replace in 1
x=24-9
=15

Answer 8

-6

Answer 9

Let x = one integer
let y = another integer

x + y = 24
x - y = 6

If you add both columns you get:
2x = 30, then all you have to do is solve for x and find y.

Answer 10

x+y=24
x-y=6
2x=30
x=15
x-y=6
15-y=6
y=9

answer: 9