The difference of two numbers is 16.?

Question

The larger number is 3 more than twice the smaller numbers. Find the numbers.

Answer 1

Let one number be x.
Then the other is x + 16 ..........(1)
x + 16 is obviously larger than x.
Therefore:
x + 16 = 3 + 2x
Subtracting x from each side:
16 = 3 + x
Subtracting 3 from each side:
x = 13.
The numbers are therefore 13 and from (1), 29.

Answer 2

The "x" variable represents the small number; the "y" variable represents the large number.

1) y - x = 16
2) y = 3+2x

First: substitute "3+2x" with "y" in the 1st equation.

1) y - x = 16
3 + 2x - x = 16
3 + x = 16

Sec: combine "like" terms - subtract 3 from both sides (when you move a term to the opposite side, always use the opposite sign).

3-3+x = 16 - 3
x = 16 - 3
x = 13

Third: substitute 13 with "x" in the 2nd equation.

y = 3+2x
y = 3+2(13)
y = 3 + 26
y = 29

The numbers are: 13 & 29

Answer 3

29 and 13

Answer 4

First, define the terms:

X = smaller number
Y = larger #

Then define the relationship:

X + 16 = Y
2X + 3 = Y

Now substitute one way to express Y for the other:
So X + 16 = 2X + 3

Now combine terms, simplify, and you'll have the answer.

Answer 5

let x be the smaller number. then, the larger number is (2x+3).
The difference is (2x+3)-x=16
2x+3-x=16
x+3=16
x=13 (smaller)
2(13)+3 =29 (larger)

Answer 6

Let the no.s are x&y
so x-y=16--------(1)
also x=2y+3
Or x-2y=3--------(2)
Subtracting (2) From (1)
y=13
So subsituting y=13 in (1),we get
x-13=16
so x=29
so the no.s are 29 &13

Answer 7

x-y=16
x=2y+3
2y+3-y=16
y=13
x=29
ans 29, 13

Answer 8

call the 1st and the bigger number is x, 2nd number is y
you'll have:
x-y=16
x=3+2y
=>x-y=16
x-2y=3
=>2x-2y=32
-x+2y=-3
=>x=29
-(29)+2y=-3
=>x=29
2y=26
=>x=29
y=13

Answer 9

uh 29 and 13

Answer 10

29 and 13

x-y=16 so x=16+y
x=3+2y
16+y=3+2y
13=y