Question

Ashu is x years old while his mother mrs veena is x2 years old.5 years hence, mrs. veena will be three times old as ashu. find their present ages.

Answer 1

ashu is x years old
her mother veena is 2x years old
Acc. to question
3(x+5)=2x+5
3x+15=2x+5
3x-2x=15-5
x=10

Answer 2

let the present age of Sonu be x year
mrs Veena's age be x^2 year
5 years hence
Ashu's age=x+5 year
$veena \: age \: = {x}^{2} + 5 \: year$
ATQ

$3(x + 5) = {x}^{2} + 5 \\ 3x + 15 = {x}^{2} + 5 \\ {x}^{2} - 3x - 10 = 0 \\ {x}^{2} - 5x + 2x - 10 = 0 \\ x(x - 5) + 2(x - 5) = 0 \\ ( x- 5)(x + 2) = 0 \\ x = 5 \: or \: - 2$
Age can't be negative so x= 5
Ashu's present age is 5 year
Veena's age=5×5=25 year