OG详解-OG8 数学2 Q14

The correct answer is 24. The equation24ny​=4​ can be rewritten as  (​24n​)（xy​​）= 4. It’s given that  xy​​ = 4. Substituting 4 for xy​​ in the equation (24n​​) (xy​​)= 4 yields (24n​​)(4)=4. Multiplying both sides of this equation by n yields (24)(4)= 4n. Dividing both sides of this equation by 4 yields 24 = n. Therefore, the value of n is 24.