Question

Aman's age is three time his son's age.ten year ago he was five times his son's. age.find their presents ages​

Answer 1

Answer:60 and 20

Step-by-step explanation:let aman's present age be x and his son's present age be y

From 1st condition x=3y

From 2nd condition x-10=5(y-10)

Substituting value of x in above eqn

3y-10=5y-50

2y=40

y=20

x=60

Answer 2

$\bf{\underline{\underline \blue{Solution:-}}}$

$\sf\underline{\red{\:\:\: AnswEr:-\:\:\:}}$

• Aman's son's present age = 20 Years
• Aman's present age = 60 Years

$\sf\underline{\red{\:\:\: Given:-\:\:\:}}$

• Aman's age is three time his son's age.
• Ten year ago he was five times his son's.

$\sf\underline{\red{\:\:\: Need\:To\: Find:-\:\:\:}}$

• Aman's son's present age = ?
• Aman's present age = ?

$\bf{\underline{\underline \blue{Explanation:-}}}$

Let the age of Aman's son age is x years.

So the age of Aman will be 3x years.

$\sf\underline{\red{\:\:\: Ten\:years\:ago:-\:\:\:}}$

• Aman's age = 3x - 10
• Aman's son age = x - 10

$\sf\underline{\red{\:\:\: Given\:That:-\:\:\:}}$

• Ten years ago,he was five times his son's age

$\bigstar \: \boxed{ \sf \: Aman's\: age = 5 \times Aman's \:son's \:age }$

$\sf\underline{\pink{\:\:\: A.T.Q:-\:\:\:}}$

$\dashrightarrow \sf {3x - 10 = 5\times(x - 10)}$

$\dashrightarrow \sf {3x - 10 = 5x - 50}$

$\dashrightarrow \sf {3x - 10 + 50 = 5x}$

$\dashrightarrow \sf {3x + 40 = 5x}$

$\dashrightarrow \sf {40 = 5x - 3x}$

$\dashrightarrow \sf {40 = 2x}$

$\dashrightarrow \sf {x = \dfrac{\cancel{40}}{\cancel{2}} }$

$\dashrightarrow \sf {x = 20}$

$\sf\underline{\green{\:\:\: ThereFore:-\:\:\:}}$

Aman's son's present age = x

Aman's son's present age = 20 Years

$\sf\underline{\green{\:\:\: And:-\:\:\:}}$

Aman's present age = 3x

Aman's present age = 3 × 20

Aman's present age = 60 Years

$\rule{200}{2}$