Question

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

Answer 1

Answer:

Aman's present age 60 years

His son's present age 20 years

Step-by-step explanation:

Let the present age of Aman be 3x

thus present age of his son =x

Ten years ago,

Aman age (3x-10)

His son's age 5(x-10)

Therefore,

3x-10 = 5(x-10)

3x-10 = 5x-50

3x-5x = -50+10

-2x = -40

therefore x=20

answer Aman's present age= 3x20

= 60 years

His son's present age = 20 years

Hope it helped you.

Answer 2

Answer:

• Aman's present age is 60 years.

Step-by-step explanation:

Given that:

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

To Find:

• Aman's present age.

Let us assume:

• Aman's son's present age be x.

Then,

• Aman's present age will be 3x.

Ten years later:

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

According to the question:

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

Opening the bracket,

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

Transposing variables to LHS, constants to RHS and changing their sign,

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

Solving further,

$\sf{\longmapsto -2x=-40}$

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

Transposing 2 from LHS to RHS and changing its sign,

$\sf{\longmapsto x=\dfrac{40}{2}}$

Dividing RHS,

$\bf{\longmapsto x=20}$

Hence,

• x = 20

Therefore,

• Aman's son's age = x = 20 years
• Aman's age = 3x = 3 × 20 = 60 years