I am currently 5 times as old as my son.

Question:

I am currently 5 times as old as my son. In 6 years time I will be three times as old as he will be then. What are our ages now?

Solution:

Let the age of my son be $\mathrm{x}$ years.

Therefore, my age will be $5 \mathrm{x}$ years.

After 6 years :

Age of my son $=(\mathrm{x}+6)$ years

My age $=(5 \mathrm{x}+6)$ years

According to the question,

$5 \mathrm{x}+6=3(\mathrm{x}+6)$

or $5 \mathrm{x}-3 \mathrm{x}=18-6$

or $2 \mathrm{x}=12$

or $\mathrm{x}=6$

$\therefore$ Age of my son $=6$ years.

My age $=5 \times 6=30$ years.

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