the sum of two numbers in 36. their difference is 24. what are the numbers?

Question

so confusing. pls explain if possible.

also, the sum of two numbers is 104. the larger number is 1 less then twice the smaller numbers. find the numbers.

Answer 1

Question 1
x + y = 36
x - y = 24

2x = 60
x = 30

30 + y = 36
y = 6

x = 30 , y = 6

Question 2
x + y = 104
x = 2y - 1

x + y = 104
x - 2y = - 1

3y = 105
y = 35

x + 35 = 104
x = 69

x = 69 , y = 35

Answer 2

permit between the numbers be x. Then, because of the fact the sum of the numbers is 36, the different is 36 - x. the version is: x - (36 - x) = 12 x - 36 + x = 12 2x - 36 = 12 upload 36: 2x = 40 8 x = 24. The numbers are for this reason 24 and (36 - 24) = 12.

Answer 3

let x and y be the two numbers.
the sum is the answer when you add. the difference is the answer when you subtract.
x+y= 36
x-y=24 Solve this system by addition
2x= 60
x=30
substitute x into one of the original equations to get y
30 + y=36
y= 6

#2. x+y=104
x= 2y-1 solve by substitution
Put 2y-1 into the top equation for x
2y-1 +y=104
3y=105
y= 35
x=69

Answer 4

"the sum of two numbers in 36":
x+y = 36

"their difference is 24":
x-y = 24

add the equations together to eliminate the y terms:
x+y = 36
x-y = 24
------------
2x = 60

so x = 30 and y = 6

====================

"the sum of two numbers is 104":
x+y = 104

"the larger number is 1 less then twice the smaller":
x = 2y - 1

x = 104 - y
x = 2y - 1

104 - y = 2y - 1
3y = 105
y = 35
x = 69

Answer 5

X + Y = 36
X - Y = 24

so 2X = 60, X=30, and thus Y=6.

X+Y=104, let X be larger number
X=2Y-1

so 2Y-1+Y=104, or 3Y=105, so
Y=35 and X=69

Answer 6

let F = first number
S = second number

Their sum is 36, or

a) F + S = 36.

Their difference is 24, or

b) F-S = 24.

You have two equations in two unknowns, viz:

a) F + S = 36
b) F - S = 24. add
----------------------------
2F = 60
F = 30, or first number is 30.

Subs in either equation, say a)
a) F + S = 36 becomes
30 + S = 36 or
S = 6, or second # is 6.

Do the rest.

Answer 7

A + B = 36
A - B = 24

So 2A = 60 or

A = 40, B = 6

X + Y = 104
X = 2Y - 1

So Y = 35, X = 69