Question

I am three times as old my son. Five years later, I shall be
two and a half times as old as my son. How old am I and
how old is my son?

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Answer 1

Let the son's age be y and father's age be x,

So, ATQ

1. x=3y and 2. x+5=2.5(y+5) {After 5 yrs}

Solve 1 and 2,

We will get x=45 and y=15....

Hope it helps...

Pls mark my answer as "Brainliest"!!!!!

Answer 2

Father is 3 times as old as his son

Let Present age of Son=x years

Then Present age of Father=3x years

After 5 years

Son age will be=(x+5) years

Father Age will be=(3x+5) years

After 5 years Father age will be also $2\frac{1}{2}$ times his son

Means

Father age after 5 years =$2\frac{1}{2}$×Age of Son After 5 years

$3x + 5 = 2 \frac{1}{2} (x + 5) \\ \\ 3x + 5 = \frac{5}{2} (x + 5) \\ \\ 3x + 5 = \frac{5x}{2} + \frac{25}{2} \\ \\ 3x - \frac{5x}{2} = \frac{25}{2} - 5 \\ \\ \frac{6x - 5x}{2} = \frac{25 - 10}{2} \\ \\ \frac{x}{2} = \frac{15}{2} \\ \\ x = \frac{15 \times 2}{2} \\ \\ x = 15$

Age of Son=x=15 years

Father=3x=3×15=45 years

Father=45 years

Son=15 years