Question

10. 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

Answer:

Present age of Aman's age =60 years

Present age of Aman's Son's age=20 years

Step-by-step explanation:

Given:-

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

To find:-

Find their present ages.

Solution:-

Let Aman's Son's present age be X years

Then, Aman's age =3X years

10 years ago their ages were

Aman's Son 's age =X-10 years

Aman's age=3X-10 years

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

=>5(X-10)=(3X-10)

=>5X-50=3X-10

=>5X-3X=-10+50

=>2X=40

=>X=40/2

=>X=20

Son's age =20 years

Aman's age=3×20=60 years

Answer:-

Present age of Aman's age =60 years

Present age of Aman's Son's age=20 years

Answer 2

Solution:

Let x be Aman's son's present age
Let 3x Aman's present age

Ten years ago, Aman's age = 3x - 10 Aman's son's age = x - 10

Given that ten years ago, he was five times his son's age.

Aman's age = 5 x Aman's son's age

3x - 10 = 5 ( x - 10 )

3x - 10 = 5x - 50

3x - 5x = - 50 + 10

- 2x = - 40

x = 20

Therefore,
Aman's son's age = x = 20 years old
Aman's age = 3x = 3 • 20 = 60 years

Hope this would help.