The sum of three natural numbers x, y and z is 49. If x, y and z are in GP and 5x, 4y and 3z are in AP, what is the value of z?25242030
Question
Solution 1
To solve this problem, we need to use the properties of both geometric progressions (GP) and arithmetic progressions (AP).
Step 1: Since x, y, and z are in GP, we can write y = rx and z = r^2x, where r is the common ratio.
Step 2: Substitute y and z in the first equation (x + y + z = 49) with the Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI
Similar Questions
Find the basis and dimension of the subspace. W = {(x,y,z): x,y,z ER and 2x+y+3z = 0) of a real vector space R
int main() {int x = 5;int y = 10;int z = ++x + y--;//herecout << "The sum is: " << z << endl;return 0;}value of x and y at comment here
If x, y, z are positive integers, such that xy + x + y = 215, yz + y + z = 161 and zx + z + x = 107, then (y – z)/(x – z) =
In ΔXYZ, z = 92 inches, x = 44 inches and ∠Y=49°. Find the length of y, to the nearest inch.
Consider the following system of linear equations:x-y+2z=1,2x+y+3z=3,x+3y+z=2.What is the solution to this system?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.