apersonwhocantdomath
apersonwhocantdomath apersonwhocantdomath
  • 01-08-2021
  • Mathematics
contestada

The HCF of two numbers is 175. The LCM of these two numbers is 12600. Both numbers are greater than their HCF. Find the two numbers

Respuesta :

caylus
caylus caylus
  • 01-08-2021

Answer:

Hello,

Answer : 1400 and 1575

Step-by-step explanation:

Let's say a and b the ywo numbers

[tex]HCF(a,b)=a\vee b=175=5^2*7\\LCM(a,b)=a\wedge b=12600\\\\a*b=(a\vee b)*(a\wedge b)=(2^3*3^2*5^2*7)*(5^2*7)=2^3*3^2*(5^2*7^2)^2\\\\Both\ numbers\ are\ greater\ than\ their HCF\\a=175*k_1\\b=175*k_2\\\\k_1=2^3\ and\ k_2=3^2\\\\a=175*2^3=1400\\b=175*3^2=1575\\\\[/tex]

Answer Link

Otras preguntas

Who is Elizabeth in Frankenstein
Which region of the country needed the most rebuilding after the war?.
This angle cuts out 4 9 of the circle. Find the measure of the angle
The prism is completely filled with 135 cubes that have edge length of 1/3ft. What is the volume of the prism? Enter your answer in the box.
How to solve and the answer.
Explain how you would find 2/3 x 12 mentally. (help lol)
Where was our nation's 1st capital located?
Is there a word for when two sentences sound similar, different words but means the same?
Which early twentieth-century style dealt with the realm of the psyche?.
14. Choose the best answer. How are carbohydrates and lipids different?​