Question

My father’s age divided by 5 is equal to my brother’s age divided by 3. My brother is 3 years older than me. My father’s age is 3 less than 2 times my age. How old is my father?

Answer 1

Answer:

Your father is 45 years old.

Step-by-step explanation:

Let's assume that "x" is your age, okay?

brother is three years older than you --> x + 3

father is 3 less than 2 times your age --> 2x – 3

Your father’s age divided by 5 is equal to your brother’s age divided by 3 --> (2x – 3) / 5 = (x + 3) / 3

So, let's cross mutiply this equation --> 5(x + 3) = 3(2x – 3)

5(x + 3) = 3(2x – 3)

5x + 15 = 6x – 9

     -15          -15

---------------------------

5x = 6x - 24

-6x    -6x

----------------------------

-1x = -24

/-1      /-1

-----------------------------

x = 24

Your father’s age is:

= 2.24 – 3

= 48 – 3

= 45