Ben is 3 times as old as Daniel and is also 4 years older than Daniel. How old is Ben?

Answer 1

Here we will set up two expressions and set them equal to each other:

B=3D

B=D+4

3D=D+4

2D=4

D=2

Now that we have Daniel's age, we can use one of our earlier equations to find that Ben is 6 years old.

Answer 2

There are two informations given.

Ben is 3 time older than Daniel. => B = 3 x D (1)

Ben is 4 years older than Daniel. => B = D + 4 (2)

Pluck (1) into (2) => 3D = D + 4

Algebra equation -D -D

=> 2D = 4

/2 /2

D = 2

Pluck D = 2 into (1) B = 3 x D = 3 x 2 = 6

Conclusion: Ben is 6, and Daniel is 2.

Answer 3

This is a system of equations problem. B=Ben D= Daniel

B=3D <---- Ben is 3 times as old as Dan. (is represents an = sign)

B=D+4 <------ Ben is also 4 years older than Daniel.

Since both equations are set equal to B you can replace B in the top equation with D+4.

D+4=3D

Next subtract D from both sides to combine like terms.

4=2D

Next divide both sides by 2 to be left with D (Dan's age)

Daniel is 2 years old D=2

Then take Dan's age of 2 and replace it in one of the top equations to find Ben's age.

B=3D...... B=3(2)........B=6 years old

Answer 4

Let Daniel’s age = x, then Ben’s age will be express in two ways ( 3 times as old as Daniel/4 years older than Danilel)as below,

3x and 4 + x

They are both Ben’s age so you can make an equation as below,

3x = x + 4

Solve for x

3x -x =4

2x = 4

X=2

You can plug 2 in one of the expressions of Ben’s age (let's use 3x here)

3・2 = 6

A. Ben is 6 years old.

Answer 5

Let B be the age of Ben in years and

let D be the age of Daniel, in years.

So,

B = 3D and

B = D+4

Set these two expressions equal to each other

3D = D + 4

Subtract D from both sides:

2D = 4

Divide both sides by 2:

D = 2

Substitute D = 2 into either of the above equations:

B = D + 2

B = 4+2

B = 6

So,

Daniel is 2 years old and Ben is 6.

Answer 6

Ben is 6 years old

According to the information Daniel is x years old and Ben is three times Daniels age, 3x and at the same time four years older than Daniel, x + 4 years old

Daniel = x

Ben = 3x and x + 4

So we can set Ben's data up as an equation to solve for x

3x = x + 4

Subtract x from both sides of the equation

3x - x = 4

2x = 4

Divide both sides of the equation by 2 to find x

x = 2

Daniel is 2

Ben is 3(2) = 6

Ben is 2 + 4 = 6

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