Question

Aman's age is three times his son's age.Ten years ago he was five times his son's age.Find their present ages​

Answer 1

Explanation:

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Answer 2

Answer:

$\large\color{blue}\boxed{\colorbox{yellow}{→ x = 60 years; y = 20 years}}$

Explanation:

Let Aman's present age = x years

Let his son's present age = y years

Age of Aman, 10 years ago = x-10

Age if his son, 10 years ago = y-1

$\large\mathcal\green{To \: find-}$

Their present age

A.T.Q

x = 3y (Aman's age is three times his son's age.) - (i)

x-10 = 5(y-10) [Ten years ago he was five times his son's age] -(ii)

x = 3y -(i) x-10= 5(y-10) -(ii)

As from (i) we know that value of x is 3y

By using Substitution method

Put value of x (eq. i) in eq. (ii)

x-10 = 5(y-10)

x-10 = 5y-50

3y-10 = 5y-50 (: x = 3y)

3y-5y = -50+10

-2y = -40

$y = \frac{ - 40}{ - 2}$

$y = \frac{40}{2}$

$y = 20$

So, y = 20 which means the age of son is 20 years

Now, put the value of 'y' in eq. (i)

x = 3y

x = 3(20)

x = 60

The age of Aman is 60 years

$\large\bf\red{нσρє \: íт \: нєℓρѕ..}$