Question

The product of two numbers is 1296 if one number is 16 times the other find the two numbers

Answer 1

let one number is R
and another is 16R

now,
R × 16R =1296
16R^2 =1296
R ^2 =81
R =9
hence,
1st number is 9 and 2nd number is 144

Answer 2

let the two numbers be x and y

so according to question

=) xy = 1296 -----------------(1)

and x = 16y -------------------(2)

putting equation (2) in (1) we get,

=) 16y×y = 1296

=) y^2 = 1296/16 =81

=) y = √81 = 9

=) x = 16×9 =144

so two numbers are 9 and 144 anS..