Question

"Alex is 2 years older than Benjamin who is twice as old as Charles. If the total of the ages of Alex, Benjamin and Charles be 27, then how old is Benjamin?"​

Answer 1

Step-by-step explanation:

Let, the age of Charles=x

then age of Benjamin=2x

and age of Alex=2x+2

A/Q,

x+2x+2x+2=27

=>5x=27-2

=>x=25/5

=>x=5

therefore age of Benjamin=2×5 years

=10 years

Answer 2

Benjamin is 10 years old.

Given:

Alex is 2 years older than Benjamin who is twice as old as Charles.

The total of the ages of Alex, Benjamin and Charles be 27.

To find:

The age of the Benjamin.

Solution:

Step 1 of 2:

Alex is 2 years older than Benjamin who is twice as old as Charles.

Let, the age of Charles be 'x'

Then, the age of Benjamin = 2x

And, the age of alex = 2x + 2

The total of the ages of Alex, Benjamin and Charles be 27.

Therefore,

x + 2x + 2x + 2 = 27

Step 2 of 2:

x + 2x + 2x + 2 = 27

5x + 2 = 27

5x = 27 - 2

5x = 25

x = $\frac{25}{5}$

x = 5

The age of Benjamin = 2x

Therefore,

The age of Benjamin = 2 × 5

The age of Benjamin = 10 years