Question

Aman’s age is three times his son’s age. Ten years ago he was five times his son’s age. What is the present age of Aman?

60 years 50 years 40 years 70 years​

Answer 1

ANSWER:

• Persent age of Aman = 60

GIVEN:

• Aman’s age is three times his son’s age.

• Ten years ago Aman’s age was five times his son’s age

TO FIND:

• Persent age of Aman

ASSUMPTION:

• Let Aman's age be x

• Let his son's age be y

EXPLANATION:

• x = 3y

• x - 10 = 5(y - 10) -------> 1

• Substitute x = 3y in equation 1

• 3y - 10 = 5y - 10

• - 2y = - 20

• y = 20

• Substitute y = 20 in x = 3y

• x = 3(20)

• x = 60

Aman is 60 years old now.

VERIFICATION:

• Substitute x = 60, y = 20 in equation 1

• 60 - 10 = 5(20 - 10)

• 50 = 5(10)

• 50 = 50

HENCE VERIFIED.

Answer 2

GIVEN :-

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

TO FIND :-

• The present age of Aman.

SOLUTION :-

▪︎Let , Present son's age be x

▪︎Present age of Aman be 3x

❂ Ten years ago,

⇒ Son's age = x - 10 years

⇒ Aman's age = 3x - 10 years

A.T.Q

⇒ Aman's age = 5(Son's age)

⇒ 3x - 10 = 5(x - 10)

⇒ 3x - 10 = 5x - 50

⇒ 3x - 5x = - 50 + 10

⇒ -2x = -40

⇒ x = -40/2

⇒ x = 40/2

⇒ x = 20

∴ Son's present age = x = 20 years

∴ Aman's present age = 3x = 3 × 20 = 60 years

❂ Hence Aman's present age is 60 years