Question

a father is 4 times his sons age. after 5yrs, he will be 3 times his sons age find present age. linear equation. pls answer its urgent

Answer 1

Step-by-step explanation:

Let x yr be the present age of father and y yr be the present age of son.

Four years hence, it has relation by given condition,

(x + 4) = 4(y + 4)

⇒ x-4y = 12 …(i)

and x = 6y …(ii)

On putting the value of x from Eq. (ii) in Eq. (i), we get

6y-4y=12

⇒ 2y = 12

⇒ y = 6

When y = 6, then x = 36

Hence, present age of father is 36 yr and age of son is 6 yr.

or

Answer:

let \: sons \:present \: age \: be \: xletsonspresentagebex

fathers \: present \: age \: = 4xfatherspresentage=4x

after \: 5 \: yearsafter5years

sons \: age \: = x + 5sonsage=x+5

fathers \: age \: = 4x + 5fathersage=4x+5

atqatq

4x + 5 = 3(x + 5)4x+5=3(x+5)

4x + 5 = 3x + 154x+5=3x+15

4x - 3x = 15 - 54x−3x=15−5

x = 10x=10

sons \: present \: age \: = x = 10 \: yearssonspresentage=x=10years

fathers \: present \: age \: = 4x = 4 \times 10 = 40 \: years fathers presentage=4x=4×10=40years

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Answer 2

Answer:

$Let \: son's \:present \: age \: be \: x$

$Father's \: present \: age \: = 4x$

$After \: 5 \: years$

$son's \: age \: = x + 5$

$father's \: age \: = 4x + 5$

$ATQ,$

$4x + 5 = 3(x + 5)$

$4x + 5 = 3x + 15$

$4x - 3x = 15 - 5$

$x = 10$

$Son's \: present \: age \: = x = 10 \: years$

$Father's \: present \: age \: = 4x = 4 \times 10 = 40 \: years$