Math, asked by RITIKKUMAR620, 1 year ago

Sunita's age at present is 2 years less than 6 times the age of her daughter Anita. The product of their ages 5 years later will be 330. What was the age of Sunita when her daughter Anita was born ?

Answers

Answered by BEJOICE
31
Let the present age of Anita be x
Then, Sunita's age = 6x - 2
After  \:  \: 5 \:  \:  years, \\ <br />(x+5) × (6x-2 + 5) = 330  \\ (x + 5) \times 3(2x + 1) = 330 \\ (x + 5)(2x + 1) = 110 \\ 2 {x}^{2}  + 11x - 105 = 0 \\ 2 {x}^{2}  + 21x - 10x - 105 = 0 \\ (2 {x}^{2}  - 10x) + (21x - 105) = 0 \\ 2x(x - 5) + 21(x - 5) = 0 \\ (2x + 21)(x - 5) = 0 \\ x =  \frac{ - 21}{2}  \:  \: or \:  \: 5 \\  \\ since \:  \:  - ve \:  \: value \:  \: for \:  \: x \:  \: is \:  \: not \:  \: admissible \\present \:  \: age \:  \: of \:  \: anita \:  \:  x = 5 \\  \\ thus \:  \: present \:  \: age \:  \: of \:  \: sunita = 6 \times 5 - 2 = 28 \\  \\ so \:  \: age \:  \: of \:  \: sunita \:  \: when \:  \: anita \\ was \:  \: born = 28 - 5 = 23
Answered by pareshsoni
0

Answer:

I am also asking for the same question bro

Similar questions