Question

I have two children. The product of their ages is 18. The sum of their ages is 11. Find the ages of my children.

Answer 1

The ages are 2 yrs and 9 yrs

Answer 2

Answer:

let the ages of the children be x and y

ATP: xy=18

and x+y =11

(x-y)²=(x+y)²-4xy

=11² - 4 × 18

=121 - 72

=49

=>x-y=7 (square quantity cannot be negative)

=>x=7+y

therefore, x+y =11=>7+y+y=11=>2y=11-7=>2y=4=>y=2

therefore,x=7+y=7+2=9

ans: the ages of the two children are 2 and 9