## Aman Age is three times as his son’s age Ten year ago he was Five times his son’s age find the present ages​

Question

Aman Age is three times as his son’s age Ten year ago he was Five times his son’s age find the present ages​

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3 days 2021-09-14T07:50:29+00:00 2 Answers 0 views 0

1. ## Solution

Given :

• Aman Age is three times as his son’s age
• Ten year ago he was Five times his son’s age

Find :

• Present age of Aman & his son’s

## Explanation

Let,

• Age of Aman = x years
• Age of his son’s = y years

A/C to question,

(Aman Age is three times as his son’s age)

==> x = 3y

==> x – 3y = 0(1)

Again,

(Ten year ago he was Five times his son’s age)

==> (x – 10) = 5 × (y – 10)

==> x – 5y = -50 + 10

==> x – 5y = -40 (2)

Subtract equ(1) & equ(2)

==> -3y + 5y = 40

==> 2y = 40

==> y = 40/2

==> y = 20

Keep Value of y in equ(1)

==> x – 3 × 20 = 0

==> x = 60

## Hence

• Present Age of Aman will be (x) = 60 years
• Present Age of his son’s (y) = 20years

## _________________

2. Hello, Good Morning….

Aman’s age is three times as his Son’s age. Ten years ago, he was five times his Son’s age. Find their present ages​..

Let Aman’s Son’s present age be ‘x years.

Aman’s age = 3x

Aman’s age 10 years ago = (x – 10) years.

Aman’s age 10 years ago = (3x – 10) years.

### Solution:

= 3x – 10 = 5 (x – 10)

= 3x – 10 = 5x – 50

= (-10) + 50 = 5x – 3x

= 40 = 2x

Therefore, x = 20 years.

### Conclusion:

Aman’s Son’s present age is 20 years.

Aman’s age is 3x = 3 * 20 = 60 years.

(An Extract from Class 8 – Mathematics – Linear Equations In One Variable)

Hope this Helps….

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