the ratio of two numbers is 3:7. the product of these 2 numbers is 189. what is the smaller of these numbers?

Question

the ratio of two numbers is 3:7. the product of these 2 numbers is 189. what is the smaller of these numbers

Answer 1

S/L = 3/7

SL = 189

S(7/3)S = 189

S^2 = (3/7)(189) = 3(27) =81

S = sqr81 = 9

smaller number is 9

larger number is 189/9 = 21

9/21 = 3/7

and 9(21) = 189