Question

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

• A. $28$ years
• B. $29$ years
• C. $20$ years
• D. $23$ years

Answer 1

Answer: (D)

$23$ years

Sunita's present age = x years.

Anita's present age = y years.

At present , $x=6y-2$____(1).

After 5 years,

$(x+5)(y+5)=330$

put x= 6y-2.

$(6y+3)(y+5)=330$

$6y^2+33y-315=0$

$y=5$ years.

$x=6\times 5-2=28$ years.

Sunita's age when Anita was born = 28-5= 23 years.