Question

The product of a Aruna’s age 4 yr ago and 6 yr after is 200. Her age at both times being given in years. Find her present age
a. 16 yr
b. 24 yr
c. 14 yr
d. 21 yr

Answer 1

let present age = x
age 4 years before = x-4
age 6 years after =x+6
product of ages = (x-4)(x+6)=200
=x² +2x-24=200
x²+2x-224=0
= (x+16)(x-14)=0]
x=-16 or 14
since age will not be negative, x=14
present age =14